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Ito Noboru  伊藤 昇

… Alternative Names

伊藤 昇  イトウ ノボル

ITO Noboru  伊藤 昇

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Researcher Number 10580160
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-9011-8982
External Links
Affiliation (Current) 2025: 信州大学, 学術研究院工学系, 准教授
Affiliation (based on the past Project Information) *help 2025: 信州大学, 学術研究院工学系, 准教授
2020 – 2023: 茨城工業高等専門学校, 国際創造工学科, 講師
2011 – 2012: 早稲田大学, 理工学術院, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related / Geometry
Except Principal Investigator
Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Keywords
Principal Investigator
量子不変量 / refined Chern-Simons理論 / Khovanov 理論 / Vassiliev理論 / カテゴリ フィケーション / wall-crossing / TQFT / Jones polynomial / Vassiliev invariant / Khovanov homology … More / categorification / リンクホモロジー / 有限型不変量 / MOYグラフ / DG圏 / ホバノフ-ローザンスキーホモロジー / 圏化 / 圏論化 / カテゴリフィケーション / 国際研究者交流(アメリカ) / 国際研究者交流(デンマーク) / 量子群 / 量子化 / スペクトル系列 / 2重複体 / 3次元多様体 / 結び目 / 量子トポロジー / 低次元トポロジー … More
Except Principal Investigator
国際共同研究 / カレント代数 / 超対称性 / ブレーン / 双対性 / 超弦理論 Less
  • Research Projects

    (4 results)
  • Research Products

    (63 results)
  • Co-Researchers

    (3 People)
  •  高次圏論を用いた量子結び目ホモロジーの統一とgl(1|1)-Alexander多項式の圏化Principal Investigator

    • Principal Investigator
      伊藤 昇
    • Project Period (FY)
      2025 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Shinshu University
  •  U双対性に基づくブレーン理論の構築

    • Principal Investigator
      初田 真知子
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
    • Research Institution
      Juntendo University
  •  Study of categorificaitons of Vassiliev invariantsPrincipal Investigator

    • Principal Investigator
      伊藤 昇
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Ibaraki National College of Technology
  •  Categorification of quantum invariants of 3-manifoldsPrincipal Investigator

    • Principal Investigator
      ITO Noboru
    • Project Period (FY)
      2011 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Waseda University

All 2024 2023 2022 2021 2020 2013 2012 2011 Other

All Journal Article Presentation

  • [Journal Article] Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs2024

    • Author(s)
      Ito Noboru、Oyamaguchi Natsumi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: Online Ready Issue: 03

    • DOI

      10.1142/s0218216523500645

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] DOUBLE LINKING NUMBER2023

    • Author(s)
      Intawong Kamolphat、Ito Noboru
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: 29 Pages: 187-197

    • DOI

      10.17654/0972415x23010

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] Curvature and quantized Arnold strangeness2023

    • Author(s)
      Ito Noboru
    • Journal Title

      International Journal of Mathematics

      Volume: 34 Issue: 11

    • DOI

      10.1142/s0129167x23500672

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] AUTOMATIC COMPUTATION OF CROSSCAP NUMBER OF ALTERNATING KNOTS2023

    • Author(s)
      Yamada Kaito、Ito Noboru
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: 29 Issue: 1 Pages: 35-45

    • DOI

      10.17654/0972415x23004

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] gl(1|1)-Alexander polynomial for 3-manifolds2023

    • Author(s)
      Bao Yuanyuan、Ito Noboru
    • Journal Title

      International Journal of Mathematics

      Volume: 34 Issue: 04 Pages: 2350016-2350016

    • DOI

      10.1142/s0129167x23500167

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604, KAKENHI-PROJECT-20K14304
  • [Journal Article] Automatic computation of crosscap number of alternating knots2023

    • Author(s)
      Yamada Kaito,Ito Noboru
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: -

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] New invariants of Legendrian knots2022

    • Author(s)
      Ito Noboru、Takamura Masashi
    • Journal Title

      Topology and its Applications

      Volume: 312 Pages: 108044-108044

    • DOI

      10.1016/j.topol.2022.108044

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] ON ELEMENTARY MOVES OF SINGULAR LEGENDRIAN KNOTS2022

    • Author(s)
      Yamaguchi Sara、Ito Noboru
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: 27 Pages: 1-9

    • DOI

      10.17654/0972415x22001

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] VARIATIONS OF MILNOR’S TRIPLE LINKING NUMBER2022

    • Author(s)
      Intawong Kamolphat、Ito Noboru
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: 27 Pages: 67-75

    • DOI

      10.17654/0972415x22005

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] Goussarov-Polyak-Viro Conjecture for degree three case2022

    • Author(s)
      Ito Noboru、Kotorii Yuka、Takamura Masashi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: - Issue: 05

    • DOI

      10.1142/s0218216522500195

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604, KAKENHI-PROJECT-20K14322
  • [Journal Article] Crosscap Number Three Alternating Knots2022

    • Author(s)
      Ito Noboru、Takimura Yusuke
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: - Issue: 04

    • DOI

      10.1142/s0218216522500262

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] ON A POINCARE POLYNOMIAL FROM KHOVANOV HOMOLOGY AND VASSILIEV INVARIANTS2022

    • Author(s)
      Ito Noboru、Kameyama Masaya
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: 27 Pages: 33-48

    • DOI

      10.17654/0972415x22003

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] A cobordism realizing crossing change on sl2 tangle homology and a categorified Vassiliev skein relation2021

    • Author(s)
      Ito Noboru、Yoshida Jun
    • Journal Title

      Topology and its Applications

      Volume: 296 Pages: 107646-107646

    • DOI

      10.1016/j.topol.2021.107646

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] PLUMBING AND COMPUTATION OF CROSSCAP NUMBER2021

    • Author(s)
      Ito Noboru、Yamada Kaito
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: 26 Issue: 2 Pages: 103-115

    • DOI

      10.17654/gt026020103

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] Arrow diagrams on spherical curves and computations2021

    • Author(s)
      Ito Noboru、Takamura Masashi
    • Journal Title

      Journal of Knot Theory and Its Ramifications

      Volume: 30 Issue: 07

    • DOI

      10.1142/s0218216521500450

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] Gauss diagram formulas of Vassiliev invariants of 2-bouquet graphs2021

    • Author(s)
      Ito Noboru、Oyamaguchi Natsumi
    • Journal Title

      Topology and its Applications

      Volume: 290 Pages: 107580-107580

    • DOI

      10.1016/j.topol.2020.107580

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] On Khovanov complexes2020

    • Author(s)
      Ito Noboru
    • Journal Title

      Topology and its Applications

      Volume: In Press Pages: 107514-107514

    • DOI

      10.1016/j.topol.2020.107514

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] New deformations on spherical curves and ?stlund conjecture2020

    • Author(s)
      Hashizume Megumi、Ito Noboru
    • Journal Title

      Topology and its Applications

      Volume: In Press Pages: 107508-107508

    • DOI

      10.1016/j.topol.2020.107508

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] Crosscap number of knots and volume bounds2020

    • Author(s)
      Ito Noboru、Takimura Yusuke
    • Journal Title

      International Journal of Mathematics

      Volume: 31 Issue: 13 Pages: 2050111-2050111

    • DOI

      10.1142/s0129167x20501116

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Journal Article] Survey and Remarks on Viro's definition of Khovanov homology2013

    • Author(s)
      Noboru Ito
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B39

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Journal Article] Jones polynomials of long virtual knots2013

    • Author(s)
      Noboru Ito
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 22 Pages: 17-17

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Journal Article] Survey and Remarks on Viro's definition of Khovanov homology2013

    • Author(s)
      Noboru Ito
    • Journal Title

      RIMS Kokyuroku, Bessatsu

      Volume: B39 Pages: 17-17

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Journal Article] The half-twisted splice operation on reduced knot projections2012

    • Author(s)
      Ayaka Shimizu, Noboru Ito
    • Journal Title

      J. Knot Theory Ramifications

      Volume: 21 Pages: 10-10

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Integrating curvature and quantized Arnold strangeness2024

    • Author(s)
      Noboru Ito
    • Organizer
      The 19th East Asian Conference on Geometric Topology
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] Integrating curvature and a quantization of Arnold strangeness invariant2023

    • Author(s)
      伊藤 昇
    • Organizer
      信州トポロジーセミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] A quantization of the Arnold strangeness invariant2023

    • Author(s)
      伊藤昇
    • Organizer
      筑波大学数学談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] Integrating curvature and quantizating Arnold strangeness invariant2023

    • Author(s)
      伊藤 昇
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] A quantization of the Arnold strangeness invariant2023

    • Author(s)
      伊藤 昇
    • Organizer
      筑波大学数学談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] 三重余積と曲線不変量2023

    • Author(s)
      伊藤昇
    • Organizer
      岡山理科大-茨城高専数学セミナー
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] 量子コンピュータに向けた結び目理論2022

    • Author(s)
      伊藤昇
    • Organizer
      自然言語フォーラム
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] On a cobordism realizing crossing change on sl(2) tangle homology and a categorified Vassiliev skein relation2020

    • Author(s)
      Noboru Ito
    • Organizer
      拡大KOOKセミナー2020
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] 応用に向けた空間2ブーケグラフのVassiliev不変量の新ガウス図式の開発2020

    • Author(s)
      伊藤昇, 大山口菜都美
    • Organizer
      東京女子トポロジー セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] A cobordism realizing crossing change on sl(2) tangle homology and a categorified Vassiliev skein relation2020

    • Author(s)
      伊藤昇
    • Organizer
      結び目の数理III
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] Splice-unknotting operation and crosscap number2020

    • Author(s)
      伊藤昇
    • Organizer
      東北結び目セミナー2020
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] Unknotting operations, crosscap numbers, and volume bounds2020

    • Author(s)
      Noboru Ito
    • Organizer
      MSCS Quantum Topology Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] Splice-unknotting number and crosscap number2020

    • Author(s)
      Noboru Ito
    • Organizer
      Friday Seminar on Knot Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03604
  • [Presentation] Khovanovホモロジー入門22013

    • Author(s)
      伊藤昇
    • Organizer
      Categorification勉強会2013
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanovホモロジー入門12013

    • Author(s)
      伊藤昇
    • Organizer
      Categorification勉強会2013
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanovホモロジー入門32013

    • Author(s)
      伊藤昇
    • Organizer
      Categorification勉強会2013
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Invariants of curves on surfaces and knot invariants2012

    • Author(s)
      伊藤昇
    • Organizer
      リーマン面に関連する位相幾何学
    • Place of Presentation
      東京大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] On Khovanov bicomplex and related problems2012

    • Author(s)
      Noboru Ito
    • Organizer
      Topology Seminar, Department of Mathematics
    • Place of Presentation
      The George Washington University
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Half-twisted splice on reduced knot projections2012

    • Author(s)
      Noboru Ito
    • Organizer
      Topology Seminar(招待講演)
    • Place of Presentation
      Department of Mathematics, University of California, Santa Barbara
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology and Kirby moves2012

    • Author(s)
      Noboru Ito
    • Organizer
      Knots in Washington XXXV
    • Place of Presentation
      The George Washington University
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Half-twisted splice on reduced knot projections2012

    • Author(s)
      Noboru Ito
    • Organizer
      Topology Seminar, Department of Mathematics
    • Place of Presentation
      University of California, Santa Barbara
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Introduction to non-triviality of Gauss words2012

    • Author(s)
      Noboru Ito
    • Organizer
      The Discrete Mathematics Seminar
    • Place of Presentation
      The George Washington University
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Chain homotopy maps for Khovanov homology and finite type invariants of nanophrases2011

    • Author(s)
      伊藤昇
    • Organizer
      コロキウム
    • Place of Presentation
      立教大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] A relation between Khovanov homology and Kirby moves2011

    • Author(s)
      Noboru Ito
    • Organizer
      Knots in Washington XXXII
    • Place of Presentation
      The George Washington University
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Remarks on nanophrases and Jones polynomials2011

    • Author(s)
      伊藤昇
    • Organizer
      東北結び目セミナー
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Chain homotopy maps for Khovanov homology and finite type invariants of nanophrases2011

    • Author(s)
      Noboru Ito
    • Organizer
      Rikkyo Univeristy(招待講演)
    • Place of Presentation
      立教大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant2011

    • Author(s)
      伊藤昇
    • Organizer
      第58回トポロジーシンポジウム
    • Place of Presentation
      筑波大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Chain homotopy maps for Khovanov homology and finite type invariants of nanophrases2011

    • Author(s)
      Noboru Ito
    • Organizer
      Shinshu Topology Seminar(招待講演)
    • Place of Presentation
      信州大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant and 3-manifolds2011

    • Author(s)
      Noboru Ito
    • Organizer
      Geometry of Transformation Groups and Combinatrics
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] A relation between Khovanov homology and Kirby moves2011

    • Author(s)
      Noboru Ito
    • Organizer
      Knots in Washington XXXII(招待講演)
    • Place of Presentation
      The George Wshington University
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Chain homotopy maps for Khovanov homology and finite type invariants of nanophrases2011

    • Author(s)
      伊藤昇
    • Organizer
      信州トポロジーセミナー
    • Place of Presentation
      信州大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Remarks on nanophrases and Jones polynomials2011

    • Author(s)
      Noboru Ito
    • Organizer
      Tohoku Knot Seminar
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant and 3-manifolds2011

    • Author(s)
      Noboru Ito
    • Organizer
      Geometry of Transformation Groups and Combinatorics, RIMS
    • Place of Presentation
      Kyoto University
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology for an unnormalized Witten-Reshetikhin-Turaev invariant2011

    • Author(s)
      Noboru Ito
    • Organizer
      The 58th Topology Symposium(招待講演)
    • Place of Presentation
      筑波大学
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology入門1

    • Author(s)
      伊藤昇
    • Organizer
      Categorificaiton勉強会2013
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] On Khovanov bicomplex and related problems

    • Author(s)
      Noboru Ito
    • Organizer
      Topology Seminar, Department of Mathematics
    • Place of Presentation
      The George washington University
    • Invited
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Introduction to Khovanov homology and Kirby moves

    • Author(s)
      Noboru Ito
    • Organizer
      Topology Seminar, Department of mathematics
    • Place of Presentation
      The George Washington University
    • Invited
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology入門2

    • Author(s)
      伊藤昇
    • Organizer
      Categorification勉強会2013
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Introduction to non-triviality of Gauss words

    • Author(s)
      Noboru Ito
    • Organizer
      The Discrete Mathematics Seminar
    • Place of Presentation
      University of South Florida
    • Invited
    • Data Source
      KAKENHI-PROJECT-23740062
  • [Presentation] Khovanov homology入門3

    • Author(s)
      伊藤昇
    • Organizer
      Categorification勉強会2013
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23740062
  • 1.  初田 真知子 (10364887)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  吉田 純 (20884662)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 3.  矢田 雅哉 (60725406)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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