HORIUCHI Sumiko 堀内澄子

Researcher Number	40572144
Affiliation (based on the past Project Information) *help	2013: 東京女子大学, 現代教養学部, 研究員
Review Section/Research Field	Except Principal Investigator Geometry
Keywords	Except Principal Investigator Vassiliev不変量 / 結び目 / 仮想結び目 / C_n-distance / 距離空間 / 有限型不変量 / 局所変形 / C_n-move

Study of invariants and geometric structures by local moves in Knot Theory
- Principal Investigator
  
  OHYAMA Yoshiyuki
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University

All 2014 2013 2012 2011 2010

All Journal Article Presentation

[Journal Article] The Gordian complex of virtual knots by forbidden moves2013
- Author(s)
  Sumiko Horiuchi and Yoshiyuki Ohyama
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: Vol.22, 1350051 Pages: 11-11
- DOI
  10.1142/s021821651350051x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540099
[Journal Article] A two dimensional lattice of knots by C_<2m>-moves2013
- Author(s)
  Sumiko Horiuchi and Yoshiyuki Ohyama
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society
  
  Volume: Vol.155 Pages: 39-46
- DOI
  10.1017/s0305004113000017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540099
[Journal Article] On the C_n-distance and Vassiliev invariants2012
- Author(s)
  Sumiko Horiuchi and Yoshiyuki Ohyama
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: Vol.21, 1250097 Pages: 22-22
- DOI
  10.1142/s0218216512500976
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540099
[Journal Article] The Gordian complex of virtual knots2012
- Author(s)
  Sumiko Horiuchi, Kasumi Komura, Yoshiyuki Ohyama and Masafumi Shimozawa
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: Vol.21, 1250122 Pages: 11-11
- DOI
  10.1142/s0218216512501222
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540099
[Journal Article] Anumerical invariant for two component spatial graphs2010
- Author(s)
  Sumiko Horiuchi
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 19 Pages: 1125-1134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540099
[Journal Article] A numerical invariant for two component spatial graphs2010
- Author(s)
  Sumiko Horiuchi and Yoshiyuki Ohyama
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: Vol.19 Pages: 1125-1134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] A lattice of virtual knots by crossing changes2014
- Author(s)
  堀内澄子、大山淑之
- Organizer
  日本数学会春期年会
- Place of Presentation
  学習院大学
- Year and Date
  2014-03-15
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] A lattice of virtual knots by crossing changes2013
- Author(s)
  堀内澄子、大山淑之
- Organizer
  研究集会「結び目の数学VI」
- Place of Presentation
  日本大学文理学部
- Year and Date
  2013-12-18
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] The Gordian complex of virtual knots by forbidden moves2012
- Author(s)
  堀内澄子、大山淑之
- Organizer
  日本数学会春期年会
- Place of Presentation
  東京理科大学
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] A two dimensional lattice of knots by C_n-moves2011
- Author(s)
  Sumiko Horiuchi
- Organizer
  The 3rd TAPU-KOOK Joint seminar on knots and related topics
- Place of Presentation
  大阪市立大学(招待講演)
- Year and Date
  2011-07-27
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] The Gordian complex of virtual knots2011
- Author(s)
  堀内澄子、大山淑之
- Organizer
  研究集会「結び目の数学IV」
- Place of Presentation
  東京女子大学
- Year and Date
  2011-12-24
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] A two dimensional lattice of knots by C_n–moves2011
- Author(s)
  堀内澄子、大山淑之
- Organizer
  The 3rd TAPU-KOOK joint seminar on knots and related topics
- Place of Presentation
  大阪市立大学
- Year and Date
  2011-07-27
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] A two dimensional lattice of knots by C_<2n>-moves2010
- Author(s)
  堀内澄子、大山淑之
- Organizer
  研究集会「E-KOOKセミナー2010」
- Place of Presentation
  大阪市立大学
- Year and Date
  2010-08-27
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] Intersection of two spheres in the metric space of knots by C_n-moves2010
- Author(s)
  堀内澄子、大山淑之
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-22
- Data Source
  KAKENHI-PROJECT-22540099
[Presentation] Intersection of two spheres in the metric space of knots by C_n-moves2010
- Author(s)
  堀内澄子、大山淑之
- Organizer
  研究集会「結び目の数学III」
- Place of Presentation
  日本大学
- Year and Date
  2010-12-22
- Data Source
  KAKENHI-PROJECT-22540099

1. OHYAMA Yoshiyuki (80223981)

# of Collaborated Projects: 1 results

# of Collaborated Products: 13 results
2. NIKKUNI Ryo (00401878)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. NAKANISHI Yasutaka (70183514)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. TANIYAMA Kouki (10247207)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

HORIUCHI Sumiko 堀内 澄子

Research Projects

Research Products

Co-Researchers

Study of invariants and geometric structures by local moves in Knot Theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] The Gordian complex of virtual knots by forbidden moves2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A two dimensional lattice of knots by C_<2m>-moves2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the C_n-distance and Vassiliev invariants2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Gordian complex of virtual knots2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Anumerical invariant for two component spatial graphs2010

Author(s)

Journal Title

Data Source

[Journal Article] A numerical invariant for two component spatial graphs2010

Author(s)

Journal Title

Data Source

[Presentation] A lattice of virtual knots by crossing changes2014

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] A lattice of virtual knots by crossing changes2013

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] The Gordian complex of virtual knots by forbidden moves2012

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] A two dimensional lattice of knots by C_n-moves2011

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] The Gordian complex of virtual knots2011

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] A two dimensional lattice of knots by C_n–moves2011

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] A two dimensional lattice of knots by C_<2n>-moves2010

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

HORIUCHI Sumiko 堀内澄子