論文 The Fox-Hatcher cycle and a Vassiliev invariant of order three Pacific Journal of Mathematics,323(2):281-306 2023(Jun. 02) Author:Saki Kanou, Keiichi Sakai
Span of the Jones polynomials of certain v-adequate virtual links JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS,30(1) 2021(Jan.) Author:Okamura, Minori; Sakai, Keiichi; Keywords:Virtual links; (pseudo-)adequacy; the Kauffman-Murasugi-Thislethwaite inequality; Turaev surfaces;
Generalized connected sum formula for the Arnold invariants of generic plane curves Topology and its Applications,255:86-108 2019(Jan. 28) Author:Keiichi Sakai, Ryutaro Sugiyama Keywords:Generic closed plane curves; The Arnold invariants; Generalized connected sums
The space of short ropes and the classifying space of the space of long knots Algebraic and Geometric Topology,18(5):2859-2873 2018(Aug. 22) Author:Syunji Moriya, Keiichi Sakai Keywords:topological category of long knots, the space of short ropes, classifying space, group completions, spaces of manifolds
BV-structures on the homology of the framed long knot space Journal of Homotopy and Related Structures,11(3):425-441 2016(Sep. 01) Author:Keiichi Sakai
Lin-Wang type formula for Haefliger invariant Homology, Homotopy and Applications,17(2):317-341 2015(Dec. 03) Author:Keiichi Sakai
Deloopings of the spaces of long embeddings Fundamenta Mathematicae,227(1):27-34 2014(Aug. 01) Author:Keiichi Sakai
1-loop graphs and configuration space integral for embedding spaces Mathematical Proceedings of the Cambridge Philosophical Society,152(Issue 03):497-533 2012(May) Author:Keiichi Sakai and Tadayuki Watanabe
On a move reducing the genus of a knot diagram Indiana UniversityMathematics Journal,61(3):1111-1127 2012 Author:Kenji Daikoku, Keiichi Sakai and Masamichi Takase
An integral expression of the first non-trivial one-cocycle of the space of longknots in R^3 Pacific Journal of Mathematics,250(2):407-419 2011(Apr.) Author:Keiichi Sakai
Configuration space integrals for embedding spaces and the Haefliger invariant Journal of Knot Theory and Its Ramifications,19(12):1597-1644 2010 Author:Keiichi Sakai
Poisson structures on the homology of the space of knots Geometry and Topology Monographs,13:463-482 2008 Author:Keiichi Sakai
Nontrivalent graph cocycle and the cohomology of long knot space Algebraic and Geometric Topology,8(3):1499-1522 2008 Author:Keiichi Sakai
講演・口頭発表等 The Fox-Hatcher cycle and a Vassiliev invariant of order three New Developments in Four Dimensions 2022(Jun. 17) Presenter:境 圭一
The Fox-Hatcher cycle and a Vassiliev invariant of order three 微分トポロジーセミナー 2022(May 17) Presenter:境 圭一
Span of the Jones polynomials of certain v-adequate virtual links Moscow-Beijing topology seminar (online) 2021(Mar. 17) Presenter:境 圭一
L-infinity algebras and graph cocycles ホモトピー論シンポジウム 2019(Oct. 28) Presenter:境 圭一
Lin-Wang type formula for the Haefliger invariant Workshop "Spaces of Embeddings: Connections and Applications" 2019(Oct. 17) Presenter:Keiichi Sakai
The space of short ropes and the classifying space of the space of long knots Mapping Spaces in Algebraic Topology 2018(Aug. 30) Presenter:Keiichi Sakai
The space of short ropes and the classifying space of the space of long knots 第65回トポロジーシンポジウム 2018(Aug. 18) Presenter:境 圭一
The space of short ropes and the classifying space of the space of long knots The 59th Cascade Topology Seminar 2017(Oct. 21) Presenter:Keiichi Sakai
Lin-Wang type formula for Haefliger's invariant 2014(Aug. 11) Presenter:Keiichi Sakai
Deloopings of the spaces of long embeddings International Conference on Topology and Geometry 2013 2013(Sep. 05) Presenter:Keiichi Sakai
BV-structures on the homology of the framed long knot space 4th East Asian Conference on Algebraic Topology 2011(Dec. 09) Presenter:Keiichi Sakai
Non-trivalent graph cocycle and the cohomology of the long knot space 日本数学会2008年度秋季総合分科会 2008(Sep. 24) Presenter:Keiichi Sakai
Poisson structure on the homology of the space of framed embeddings 第54回トポロジーシンポジウム 2007(Aug. 07) Presenter:Keiichi Sakai
On the space of all embeddings R^1 ->R^n and loop spaces of configuration spaces Intelligence of Low Dimensional Topology 2005 2005(Nov. 07) Presenter:Keiichi Sakai