KAWAMURA Tomomi 川村友美

… Alternative Names

川村友美カワムラトモミ

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Researcher Number	40348462
Other IDs
Affiliation (Current)	2025: 名古屋大学, 多元数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2010 – 2017: Nagoya University, 多元数理科学研究科, 准教授 2008 – 2011: Nagoya University, 大学院・多元数理科学研究科, 准教授 2003 – 2006: 青山学院大学, 理工学部, 助手
Review Section/Research Field	Principal Investigator Geometry Except Principal Investigator Algebra / Basic analysis
Keywords	Principal Investigator ベネカン不等式 / 絡み目のコボルディズム / オジュバットとサボーの結び目不変量 / コバノフホモロジー / ラスムッセン不変量 / スライスオイラー数 / ベネカン型不等式 / 絡み目のスライスオイラー数 / 結び目コンコルダンス不変量 / ザイフェルト円周 … More / オジュバットとサボーの不変量 / フレアーホモロジー / オイラー数 / 絡み目のホモロジー / 絡み目コンコルダンス不変量 / ４次種数 / 種数 / 橋の架け替え / 種数あるいはオイラー数 / ザイフェルト曲面 / プレッツェル結び目 / 結び目と絡み目の射影図 / 結び目と絡み目 / 3次元多様体 / 4次元トポロジー / 正の絡み目 / 鏡像に関する歪対称性 / ホップ絡み目の連結和 / 絡み目のフレアーホモロジー / 鏡像 / ベネカン型評価式 / 正または負の絡み目 / 結び目理論 / 位相幾何 / 4次元クラスプ数 / 結び目解消数 / 連結和 / 絡み目一意分解性定理 / グラフディバイド / ディバイド / 結び目フレアホモロジー / Khovanovホモロジー / 4次種数 / 準正絡み目 / Rasmussen不変量 … More Except Principal Investigator Jackson integrals / ジャクソン積分 / カロジェロ模型 / commuting differential operators / 可換微分作用素系 / invariant polynomials of type F4 / Vandermonde-type determinant / connection formula / basic hypergeometric series / q-difference system / Weyl group / ホロノミックq-差分方程式 / 対称式 / 複素簡約型リー群 / Kazhdan-Lusztig多項式 / ルート系 / F4型ワイル群不変式 / ファンデルモンド型行列式 / 接続公式 / q超幾何関数 / q-差分方程式 / ワイル群 / Calogero models / ワイル群の不変式 / Calogero model / elliptic theta functions / asymptotic behavior / Weyl group symmetry / 楕円データ関数 / カロジェロモデル / 楕円テータ関数 / 漸近展開 / ワイル群対称性 Less

Geometry on concordance invariants of knots and linksPrincipal Investigator
- Principal Investigator
  
  Kawamura Tomomi
- Project Period (FY)
  2012 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Estimates of knot invariants via diagrams and geometrical sence of themPrincipal Investigator
- Principal Investigator
  
  KAWAMURA Tomomi
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University
Research on the holonomic q difference systems associated with the Jackson integrals of Weyl group invariant
- Principal Investigator
  
  ITO Masahiko
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Aoyama Gakuin University
ディバイド絡み目の拡張と準正絡み目および代数曲線の関係についてPrincipal Investigator
- Principal Investigator
  
  川村友美
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Aoyama Gakuin University
The study of infinite product formulae for the Jackson integrals with Weyl group symmetry and their applications.
- Principal Investigator
  
  ITO Masahiko
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Aoyama Gakuin University
Geometric invariants of representations and the Whittaker models
- Principal Investigator
  
  TANIGUCHI Kenji
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Aoyama Gakuin University

All 2015 2012 2010 2009 2005 2004 Other

All Journal Article Presentation

[Journal Article] An estimate of the Rasmussen invariant for links and the determinatiion for certain links2015
- Author(s)
  Tomomi Kawamura
- Journal Title
  
  Topology and its Applications
  
  Volume: 196 Pages: 558-574
- DOI
  10.1016/j.topol.2015.05.034
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540074
[Journal Article] Links and Gordian numbers associated with certain generic immersions of circles2005
- Author(s)
  Tomomi Kawamura
- Journal Title
  
  Pacific Journal of Mathematics 220 No.2
  
  Pages: 341-357
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540183
[Journal Article] Links and Gordian numbers associated with certain generic immersions of circles2005
- Author(s)
  Tomomi KAWAMURA
- Journal Title
  
  Pacific Journal of Mathematics 220, no.2
  
  Pages: 341-357
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540183
[Journal Article] Links associated with generic immersions of graphs2004
- Author(s)
  Tomomi Kawamura
- Journal Title
  
  Algebraic and Geometric Topology 4
  
  Pages: 571-594
- Data Source
  KAKENHI-PROJECT-15740044
[Journal Article] Links associated with generic immersions of graphs2004
- Author(s)
  Tomomi KAWAMURA
- Journal Title
  
  Algebraic and Geometric Topology 4
  
  Pages: 571-594
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540183
[Journal Article] Links associated with beneric immersions of graphs2004
- Author(s)
  Tomomi Kawamura
- Journal Title
  
  Algebraic and Geometric Topology 4
  
  Pages: 571-594
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540183
[Journal Article] Links associated with generic immersions of graphs2004
- Author(s)
  Tomomi KAWAMURA
- Journal Title
  
  Algebraic, Geometric Topology 4
  
  Pages: 1472-2747
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540045
[Journal Article] Links associated with generic immersions of graphs2004
- Author(s)
  Tomomi KAWAMURA
- Journal Title
  
  Algebraic & Geometric Topology 4
  
  Pages: 1472-2747
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540045
[Journal Article] Links and gordian numbers associated with certain generic immersions of circles
- Author(s)
  Tomomi Kawamura
- Journal Title
  
  Pacific Journal of Mathematics (掲載決定)
- Data Source
  KAKENHI-PROJECT-15740044
[Journal Article] Links and gordian numbers associated with certain generic immersions of circles
- Author(s)
  Tomomi Kawamura
- Journal Title
  
  Pacific Journal of Mathematics (掲載予定)(印刷中)
- Data Source
  KAKENHI-PROJECT-15740044
[Journal Article] Links and gordian numbers associated with certain generic immersions of circles
- Author(s)
  Tomomi KAWAMURA
- Journal Title
  
  Pacific Journal of Mathematics (to appear.)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540045
[Journal Article] Links and gordian number associated with certain generic immersions of circles
- Author(s)
  Tomomi KAWAMURA
- Journal Title
  
  Pacific Journal of Mathematics To appear
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540045
[Presentation] 絡み目の整数値不変量のベネカン不等式の精密化2012
- Author(s)
  川村友美
- Organizer
  研究集会「接触構造・特異点・微分方程式およびその周辺」
- Place of Presentation
  鹿児島大学理学部(鹿児島県)(招待講演)
- Year and Date
  2012-01-20
- Data Source
  KAKENHI-PROJECT-20740035
[Presentation] 絡み目の整数値不変量のベネカン不等式の精密化2012
- Author(s)
  川村友美
- Organizer
  研究集会「接触構造・特異点・微分方程式およびその周辺」
- Place of Presentation
  鹿児島大学
- Year and Date
  2012-01-20
- Data Source
  KAKENHI-PROJECT-20740035
[Presentation] An estimate of the Rasmussen invariant for links2010
- Author(s)
  Tomomi Kawamura
- Organizer
  Knots, Contact Geometry and Floer Homology Tambara workshop
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2010-05-29
- Data Source
  KAKENHI-PROJECT-20740035
[Presentation] An estimate of the Rasmussen invariant for links, Knots2010
- Author(s)
  Tomomi Kawamura
- Organizer
  Contact Geometry and Floer Homology Tambara workshop
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2010-05-29
- Data Source
  KAKENHI-PROJECT-20740035
[Presentation] 絡み目のラスムッセン不変量のベネカン不等式に類似した評価式2009
- Author(s)
  川村友美
- Organizer
  日本数学会2009年度秋季総合分科会トポロジー分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20740035
[Presentation] 絡み目のラスムッセン不変量のベネカン不等式に類似した評価式2009
- Author(s)
  川村友美
- Organizer
  日本数学会, 2009年度秋季総合分科会トポロジー分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20740035
[Presentation] 絡み目のラスムッセン不変量のべネカン不等式に類似した評価式2009
- Author(s)
  川村友美
- Organizer
  日本数学会2009年秋季総合分科会トポロジー分科会
- Place of Presentation
  大阪大学(大阪府)
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20740035
[Presentation] An estimate of the Rasmussen invariant for links and the determination for certain links
- Author(s)
  Tomomi Kawamura
- Organizer
  International Conference of Topology and Geometry 2013, Joint with the 6-th Japan-Mexico Topology Symposium
- Place of Presentation
  島根大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540074

1. ITO Masahiko (30348461)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. TANIGUCHI Kenji (20306492)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. KOIKE Kazuhiko (70146306)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. YANO Kouichi (60114691)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. KIMURA Isamu (40082820)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. IHARA Shinichiro (30012347)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. SATSUMA Junkichi (70093242)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KAWAMURA Tomomi 川村 友美

川村 友美 カワムラ トモミ

Research Projects

Research Products

Co-Researchers

Geometry on concordance invariants of knots and linksPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Estimates of knot invariants via diagrams and geometrical sence of themPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on the holonomic q difference systems associated with the Jackson integrals of Weyl group invariant

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ディバイド絡み目の拡張と準正絡み目および代数曲線の関係についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The study of infinite product formulae for the Jackson integrals with Weyl group symmetry and their applications.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometric invariants of representations and the Whittaker models

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] An estimate of the Rasmussen invariant for links and the determinatiion for certain links2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Links and Gordian numbers associated with certain generic immersions of circles2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] Links and Gordian numbers associated with certain generic immersions of circles2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] Links associated with generic immersions of graphs2004

Author(s)

Journal Title

Data Source

[Journal Article] Links associated with generic immersions of graphs2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] Links associated with beneric immersions of graphs2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] Links associated with generic immersions of graphs2004

Author(s)

Journal Title

Description

Data Source

[Journal Article] Links associated with generic immersions of graphs2004

Author(s)

Journal Title

Description

Data Source

KAWAMURA Tomomi 川村友美

川村友美カワムラトモミ