New invariants of Legendrian knots

被引：0
|
作者：
Chekanov, Y [1 ]
机构：
[1] Moscow Ctr Continuous Math Educ, Moscow 121019, Russia
来源：
EUROPEAN CONGRESS OF MATHEMATICS, VOL II | 2001年 / 202卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss two different ways to construct new invariants of Legendrian knots in the standard contact R-3. These invariants are defined combinatorially, in terms of certain planar projections, and (sometimes) allow us to distinguish Legendrian knots which are not Legendrian isotopic but have the same classical invariants.
引用
收藏
页码：525 / 534
页数：10
相关论文
共 50 条
  • [41] On connected sums and Legendrian knots
    Etnyre, JB
    Honda, K
    ADVANCES IN MATHEMATICS, 2003, 179 (01) : 59 - 74
  • [42] Exceptional Legendrian Torus Knots
    Geiges, Hansjorg
    Onaran, Sinem
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020, 2020 (22) : 8786 - 8817
  • [43] Legendrian and transverse twist knots
    Etnyre, John B.
    Ng, Lenhard L.
    Vertesi, Vera
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2013, 15 (03) : 969 - 995
  • [44] Holonomic and Legendrian parametrizations of knots
    Birman, JS
    Wrinkle, NC
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2000, 9 (03) : 293 - 309
  • [45] Legendrian knots and constructible sheaves
    Vivek Shende
    David Treumann
    Eric Zaslow
    Inventiones mathematicae, 2017, 207 : 1031 - 1133
  • [46] Legendrian knots, transverse knots and combinatorial Floer homology
    Ozsvath, Peter
    Szabo, Zoltan
    Thurston, Dylan
    GEOMETRY & TOPOLOGY, 2008, 12 : 941 - 980
  • [47] Plane curves, wavefronts and Legendrian knots
    Goryunov, VV
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 359 (1784): : 1497 - 1510
  • [48] Monopole Floer homology and Legendrian knots
    Sivek, Steven
    GEOMETRY & TOPOLOGY, 2012, 16 (02) : 751 - 779
  • [49] Legendrian knots and exact Lagrangian cobordisms
    Ekholm, Tobias
    Honda, Ko
    Kalman, Tamas
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2016, 18 (11) : 2627 - 2689
  • [50] The nonuniqueness of Chekanov polynomials of Legendrian knots
    Melvin, P
    Shrestha, S
    GEOMETRY & TOPOLOGY, 2005, 9 : 1221 - 1252
12345