HAYASHI Chuichiro 林忠一郎

… Alternative Names

林忠一郎ハヤシチユウイチロウ

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Researcher Number	20281321
Other IDs
Affiliation (Current)	2025: 日本女子大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2010 – 2018: 日本女子大学, 理学部, 教授 2007 – 2009: Japan Women's University, 理学部, 准教授 2003 – 2006: 日本女子大学, 理学部, 助教授 2001: 日本女子大学, 理学部, 講師 1998 – 2000: 学習院大学, 理学部, 助手 1996: 学習院大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Geometry / Geometry
Keywords	Principal Investigator 結び目理論 / 自明結び目 / デーン手術 / 位相幾何学 / 幾何学 / 結び目 / クロムウェル変形 / アーク表示 / 上界 / ファンダメンタル曲面 … More / ノーマル曲面 / ライデマイスター変形 / 本質的ラミネーション / 種数1橋数1結び目 / ヒーガード分解 / 2橋結び目 / ラミネーション / カンドル彩色 / カンドル / 交差点数 / rectangular diagram / R変形 / merge変形 / exchange変形 / arc表示 / エクスチェンジ / マージ / レクタンギュラー表示 / グリッド表示 / Reldemeister変形 / レンズ空間 / fundamental曲面 / normal曲面 / 3-manifold / vertex surface / Q-theory / normal surface / triangulation / non-orientable surface / lens space / fundamental surface / 絡み目射影図 / トポロジー / トロイダル多様体 / 可約多様体 / 2橋絡み目 / 可約3次元多様体 / トンネル数1絡み目 / コライズ / 分離絡み目 / 閉組み紐 / トンネル数 / 絡み目 / 双曲構造 / ヘゴール分解 / 圧縮不可能曲面 / 橋数2結び目 / トーラス結び目 / ダブルトーラス結び目 / タングル分解 / アフィンラミネーション / スタビライズド / キャンセラブル / 橋表示 / 3次元多様体 / 衛星結び目 / 核結び目 / 弱可約分解 / 強既約分解 / 種数1橋数1分解 / ケーブル予想 / 平行 / タングル Less

Research Projects
(8 results)
Research Products
(42 results)

Decision of triviality of knots and search for unknotting moves using quandlesPrincipal Investigator
- Principal Investigator
  
  Hayashi Chuichiro
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Japan Women's University
An upper bound for the number of elementary moves needed for unknotting an arc-presentation of the trivial knotPrincipal Investigator
- Principal Investigator
  
  Hayashi Chuichiro
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Japan Women's University
The number of Cromwell moves needed for unknotting an arc-presentation of the trivial knotPrincipal Investigator
- Principal Investigator
  
  HAYASHI Chuichiro
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Japan Women's University
The number of Reidemeister moves needed for connecting two link diagrams representing the same link.Principal Investigator
- Principal Investigator
  
  HAYASHI Chuichiro
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Japan Women's University
トンネル数1の絡み目に沿ったデーン手術Principal Investigator
- Principal Investigator
  
  林忠一郎
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Japan Women's University
本質的タングル分解を持つ結び目に沿った整数的デーン手術Principal Investigator
- Principal Investigator
  
  林忠一郎
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Japan Women's University
  Gakushuin University
種数1橋数1結び目に沿ったデーン手術Principal Investigator
- Principal Investigator
  
  林忠一郎
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Gakushuin University
ファイバー結び目とケ-ブリング予想Principal Investigator
- Principal Investigator
  
  林忠一郎
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Gakushuin University

All 2018 2016 2015 2014 2013 2012 2011 2010 2009 2007 2006 2005 2004 Other

All Journal Article Presentation

[Journal Article] Rectangular Seifert circles and arcs system2014
- Author(s)
  Tatuo Ando, Chuichiro Hayashi and Miwa Hayashi
- Journal Title
  
  Journal of Knot Thoery and its Ramifications
  
  Volume: 23 Issue: 08 Pages: 1450041-1450041
- DOI
  10.1142/s0218216514500412
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400100
[Journal Article] Realizing exterior Cromwell moves on rectangular diagrams by Reidemeister moves2014
- Author(s)
  Tatsuo Ando, Chuichiro Hayashi and Yuki Nishikawa
- Journal Title
  
  Journal of Knot Thoery and its Ramifications
  
  Volume: 23 Issue: 05 Pages: 1450023-1450023
- DOI
  10.1142/s0218216514500230
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400100
[Journal Article] Canonical forms for operation tables of finite connected quandles2013
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Communications in Algebra
  
  Volume: 41 Issue: 9 Pages: 3340-3349
- DOI
  10.1080/00927872.2012.685532
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400100
[Journal Article] Unknotting rectangular diagrams of the trivial knot by exchangge moves2013
- Author(s)
  Chuichiro Hayashi and Sayaka Yamada
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 22 Issue: 11 Pages: 1-12
- DOI
  10.1142/s0218216513500673
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400100
[Journal Article] Unknotting number and number Reidemeister moves needed for unlinking2012
- Author(s)
  Chuichiro Hayashi, Miwa Hayashi, Tahl Nowik
- Journal Title
  
  Topology and its Applications
  
  Volume: 159 Issue: 5 Pages: 1467-1474
- DOI
  10.1016/j.topol.2012.01.008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] On linear n-colorings for knots2012
- Author(s)
  Chuichiro Hayashi, Miwa Hayashi and Kanako Oshiro
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: Vol.21, No.14 Issue: 14 Pages: 13-13
- DOI
  10.1142/s0218216512501234
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101, KAKENHI-PROJECT-23840040
[Journal Article] Minimal unknotting sequences of Reidemeister moves containing unmatched RII moves.2012
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 21 Issue: 10 Pages: 1-13
- DOI
  10.1142/s021821651250099x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Unknotting number and number of Reidemeister moves neededfor unlinking2012
- Author(s)
  Chuichiro Hayashi, Miwa Hayashi andTahl Nowik
- Journal Title
  
  Topology and its Applications
  
  Volume: Vol.159 Pages: 1467-1474
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Genus two Heegaard splittings of 1-genus 1-bridge knots.2012
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Kobe Journal of Mathematics
  
  Volume: 29 Pages: 45-84
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Genus two Heegaard splittings of 1-genus 1-bridge knots II2012
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Saitama Mathematical Journal
  
  Volume: 29 Pages: 25-54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Minimal unknotting sequence of Reidemeister moves containing unmatched RII moves2012
- Author(s)
  Chuichiro Hayashi, Miwa Hayashi, Minori Sawada and Sayaka Yamada
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: Vol.21, No.10 Pages: 13-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Unknotting number and number of Reidemeister moves needed for unlinking.2012
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Topology and its Applications
  
  Volume: 159 Pages: 1467-1474
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Genus two Heegaard splittings of1-genus 1-bridge knots2012
- Author(s)
  Hiroshi Goda and Chuchiro Hayashi
- Journal Title
  
  Kobe Journal of Mathematics
  
  Volume: Vol. 29 Pages: 45-84
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Genus two Heegaard splittings of1-genus 1-bridge knots II2012
- Author(s)
  Hiroshi Goda and Chuichiro Hayashi
- Journal Title
  
  SaitamaMathematical Journal
  
  Volume: Vol. 29 Pages: 25-54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Journal Article] Non-orientable fundamental surfaces in lens spaces2009
- Author(s)
  Miwa Iwakura, Chuichiro Hayashi
- Journal Title
  
  Topology and its Applications Vol.156
  
  Pages: 1753-1766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540100
[Journal Article] Dehn surgeries on 2-bridge links which yield reducible 3-manifolds2009
- Author(s)
  林忠一郎
- Journal Title
  
  Journal of Knot Theory and its Ramifications 18
  
  Pages: 917-956
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540100
[Journal Article] Dehn surgeries on 2-bridge links which yield reducible 3-manifold2009
- Author(s)
  Hiroshi Goda, Chuichiro Hayashi, Hyun-Jong Song
- Journal Title
  
  Journal of Knot Theory and its Ramifications Vol.18
  
  Pages: 917-956
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540100
[Journal Article] Non-orientable fundamental surfaces in lens spaces2009
- Author(s)
  岩倉美和、林忠一郎
- Journal Title
  
  Topology and its Applications 156
  
  Pages: 1753-1766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540100
[Journal Article] Non-orientable fundamental surfaces in lens spaces2009
- Author(s)
  Miwa Iwakura, Chuichiro Hayashi
- Journal Title
  
  Topology and its Applications 156巻
  
  Pages: 1753-1766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540100
[Journal Article] A lower bound for the number of Reidemeister moves for unknotting2006
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Journal of knot Theory and its Ramifications vol.15 No.3
  
  Pages: 313-326
- Data Source
  KAKENHI-PROJECT-15740047
[Journal Article] A lower bound for the number of Reidemeister moves for unknotting2006
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Journal of Knot Theory and its Ramifications Vol.15
  
  Pages: 313-325
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540100
[Journal Article] The number of Reidemeister moves for splitting a link2005
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Mathematische Annalen
- Data Source
  KAKENHI-PROJECT-15740047
[Journal Article] Essential laminations and branched surfaces in the exteriors of links2005
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Japanese Journal of Mathematics 31
  
  Pages: 25-96
- Data Source
  KAKENHI-PROJECT-15740047
[Journal Article] The number of Reidemeister moves for splitting a link2005
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Mathematische Annalen 332
  
  Pages: 239-252
- Data Source
  KAKENHI-PROJECT-15740047
[Journal Article] The number of Vogel operations to deform a link diagram to a closed braid.2005
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  TOKYO Journal of Mathematics 28
  
  Pages: 299-307
- Data Source
  KAKENHI-PROJECT-15740047
[Journal Article] A criterion for satellite 1-genus 1-bridge knots2004
- Author(s)
  Chuichiro Hayashi(共著)
- Journal Title
  
  Proceedings of the American Mathematical Society Vol.132 No.11
  
  Pages: 3449-3456
- Data Source
  KAKENHI-PROJECT-15740047
[Journal Article] 1-genus 1-bridge splittings for knots2004
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Osaka Journal of Mathematics Vol.41 No.2
  
  Pages: 371-426
- Data Source
  KAKENHI-PROJECT-15740047
[Journal Article] Canonical forms for operation tables of finite connected quandles
- Author(s)
  Chuichiro Hayashi
- Journal Title
  
  Communications in Algebra
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540101
[Presentation] 2-spheres in Morse positions with respect to the open-book decompositon of the 3-sphere2018
- Author(s)
  Chuichiro Hayashi
- Organizer
  Geometry and Topology of 3-manifolds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05157
[Presentation] S3 の open-book decomposition に関して Morse の位置にある球面（続き）2018
- Author(s)
  林忠一郎
- Organizer
  研究集会「Geometric Topology of low dimensions」
- Data Source
  KAKENHI-PROJECT-16K05157
[Presentation] The Number of Reidemeister movesneeded for connecting two diagrams of a knot2016
- Author(s)
  Chuichiro Hayashi
- Organizer
  Joint Symposium 2016, Ewha Womans University, Japan Women’s University andOchanomizu University for the promotion and research for women in science
- Place of Presentation
  Ehwa Womans University, Seoul, Korea
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05157
[Presentation] とあるカンドル彩色のさがし方2015
- Author(s)
  林忠一郎
- Organizer
  拡大ＫＯＯＫセミナー
- Place of Presentation
  神戸大学
- Year and Date
  2015-08-21
- Data Source
  KAKENHI-PROJECT-25400100
[Presentation] ライデマイスター変形に代えて2014
- Author(s)
  林忠一郎
- Organizer
  多様体のトポロジーの展望
- Place of Presentation
  東京大学（東京都・目黒区）
- Year and Date
  2014-11-30
- Data Source
  KAKENHI-PROJECT-25400100
[Presentation] 自明結び目のレクタンギュラー・ダイアグラムIII2012
- Author(s)
  林忠一郎
- Organizer
  2012琉球結び目セミナー
- Place of Presentation
  那覇市ぶんかテンブス館
- Year and Date
  2012-09-03
- Data Source
  KAKENHI-PROJECT-22540101
[Presentation] 自明結び目のレクタンギュラー・ダイアグラム I2012
- Author(s)
  西川友紀(話者)、林忠一郎
- Organizer
  2012琉球結び目セミナー
- Place of Presentation
  那覇市ぶんかテンブス館
- Year and Date
  2012-09-03
- Data Source
  KAKENHI-PROJECT-22540101
[Presentation] 自明結び目のレクタンギュラー・ダイアグラムII2012
- Author(s)
  山田さやか(話者)、林忠一郎
- Organizer
  2012琉球結び目セミナー
- Place of Presentation
  那覇市ぶんかテンブス館
- Year and Date
  2012-09-03
- Data Source
  KAKENHI-PROJECT-22540101
[Presentation] Minimal unknotting sequences of Reidemeister moves containing unmatched RII moves2011
- Author(s)
  山田さやか(話者)、澤田実、林忠一郎、林美和
- Organizer
  研究集会「結び目の数学IV」
- Place of Presentation
  早稲田大学
- Year and Date
  2011-12-27
- Data Source
  KAKENHI-PROJECT-22540101
[Presentation] CowritheとReidemeister変形の回数-torusknotsへの応用2010
- Author(s)
  林忠一郎(話者)、林美和(話者)
- Organizer
  結び目の数理セミナーKnottingNagoya
- Place of Presentation
  名古屋工業大学
- Year and Date
  2010-06-06
- Data Source
  KAKENHI-PROJECT-22540101
[Presentation] CowritheとReidemeister変形の回数-torus knotsへの応用2010
- Author(s)
  林忠一郎
- Organizer
  Knotting Nagoya
- Place of Presentation
  名古屋工業大学
- Year and Date
  2010-06-06
- Data Source
  KAKENHI-PROJECT-22540101
[Presentation] Miwa Iwakura, Q-fundamental surfaces in lens spaces2007
- Author(s)
  Chuichiro Hayashi, Miwa Iwakura
- Organizer
  Knotting Mathematics and Art: conference in Low Dimensional Topology and Mathematical Art
- Place of Presentation
  University of South Florida, Tampa
- Data Source
  KAKENHI-PROJECT-18540100
[Presentation] Q-fundamental surfaces in lens spaces2007
- Author(s)
  Chuichiro Hayashi, Miwa Iwakura
- Organizer
  Knotting Mathematics and Art : Conference in Low Dimensional Topology and Mathematical Art
- Place of Presentation
  University of South Florida フロリダ州、アメリカ合衆国
- Year and Date
  2007-11-02
- Data Source
  KAKENHI-PROJECT-18540100
[Presentation] Q-fundamental surfaces in lens spaces2007
- Author(s)
  岩倉美和、林忠一郎
- Organizer
  Knotting Mathematics and Art
- Place of Presentation
  University of South Florida
- Year and Date
  2007-11-02
- Data Source
  KAKENHI-PROJECT-18540100

HAYASHI Chuichiro 林 忠一郎

林 忠一郎 ハヤシ チユウイチロウ

Research Projects

Research Products

Decision of triviality of knots and search for unknotting moves using quandlesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

An upper bound for the number of elementary moves needed for unknotting an arc-presentation of the trivial knotPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The number of Cromwell moves needed for unknotting an arc-presentation of the trivial knotPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The number of Reidemeister moves needed for connecting two link diagrams representing the same link.Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

トンネル数1の絡み目に沿ったデーン手術Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

本質的タングル分解を持つ結び目に沿った整数的デーン手術Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

種数1橋数1結び目に沿ったデーン手術Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ファイバー結び目とケ-ブリング予想Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Rectangular Seifert circles and arcs system2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Realizing exterior Cromwell moves on rectangular diagrams by Reidemeister moves2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Canonical forms for operation tables of finite connected quandles2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Unknotting rectangular diagrams of the trivial knot by exchangge moves2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Unknotting number and number Reidemeister moves needed for unlinking2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On linear n-colorings for knots2012

Author(s)

Journal Title

HAYASHI Chuichiro 林忠一郎

林忠一郎ハヤシチユウイチロウ