An Introduction to Khovanov Homology

被引:3
|
作者
Kauffman, Louis H. [1 ]
机构
[1] Univ Illinois, Dept Math Stat & Comp Sci MC 249, 851 South Morgan St, Chicago, IL 60607 USA
来源
关键词
QUANTUM-FIELD THEORY; LINK HOMOLOGY; MATRIX FACTORIZATIONS; COHERENT SHEAVES; FLOER HOMOLOGY; KNOT HOMOLOGY; INVARIANT; CATEGORIES; MODELS;
D O I
10.1090/conm/670/13447
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is an introduction to Khovanov Homology.
引用
收藏
页码:105 / 139
页数:35
相关论文
共 50 条
  • [11] Doubled Khovanov Homology
    Rushworth, William
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2018, 70 (05): : 1130 - 1172
  • [12] Homotopical Khovanov homology
    Manturov, Vassily Olegovich
    Nikonov, Igor Mikhailovich
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2015, 24 (13)
  • [13] A note on Khovanov-Rozansky sl2-homology and ordinary Khovanov homology
    Hughes, Mark C.
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2014, 23 (12)
  • [14] Graphs on surfaces and Khovanov homology
    Champanerkar, Abhijit
    Kofman, Ilya
    Stoltzfus, Neal
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2007, 7 : 1531 - 1540
  • [15] Instantons and annular Khovanov homology
    Xie, Yi
    ADVANCES IN MATHEMATICS, 2021, 388
  • [16] Khovanov homology and causality in spacetimes
    Chernov, V.
    Martin, G.
    Petkova, I.
    JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (02)
  • [17] KHOVANOV HOMOLOGY OF BRAID LINKS
    Nizami, Abdul Rauf
    Munir, Mobeen
    Usman, Ammara
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2016, 57 (02): : 95 - 118
  • [18] Knots with identical Khovanov homology
    Watson, Liam
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2007, 7 : 1389 - 1407
  • [19] A type A structure in Khovanov homology
    Roberts, Lawrence P.
    Algebraic and Geometric Topology, 2016, 16 (06): : 3653 - 3719
  • [20] Totally twisted Khovanov homology
    Roberts, Lawrence P.
    GEOMETRY & TOPOLOGY, 2015, 19 (01) : 1 - 59