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
  • [21] PATTERNS IN ODD KHOVANOV HOMOLOGY
    Shumakovitch, Alexander N.
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2011, 20 (01) : 203 - 222
  • [22] Instantons and odd Khovanov homology
    Scaduto, Christopher W.
    JOURNAL OF TOPOLOGY, 2015, 8 (03) : 744 - 810
  • [23] On a triply graded Khovanov homology
    Putyra, Krzysztof K.
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2016, 25 (03)
  • [24] UNKNOTTING NUMBER AND KHOVANOV HOMOLOGY
    Alishahi, Akram
    PACIFIC JOURNAL OF MATHEMATICS, 2019, 301 (01) : 15 - 29
  • [25] On Gradings in Khovanov homology and sutured Floer homology
    Grigsby, J. Elisenda
    Wehrli, Stephan M.
    TOPOLOGY AND GEOMETRY IN DIMENSION THREE: TRIANGULATIONS, INVARIANTS, AND GEOMETRIC STRUCTURES, 2011, 560 : 111 - +
  • [26] KHOVANOV HOMOLOGY DETECTS THE TREFOILS
    Baldwin, John A.
    Sivek, Steven
    DUKE MATHEMATICAL JOURNAL, 2022, 171 (04) : 885 - 956
  • [27] Khovanov homology and the slice genus
    Rasmussen, Jacob
    INVENTIONES MATHEMATICAE, 2010, 182 (02) : 419 - 447
  • [28] Fixing the functoriality of Khovanov homology
    Clark, David
    Morrison, Scott
    Walker, Kevin
    GEOMETRY & TOPOLOGY, 2009, 13 : 1499 - 1582
  • [29] A generalization of Khovanov's homology
    Aouani, Zouhaier
    Saihi, Ines
    COMPTES RENDUS MATHEMATIQUE, 2015, 353 (12) : 1135 - 1140
  • [30] The homotopy theory of Khovanov homology
    Everitt, Brent
    Turner, Paul
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2014, 14 (05): : 2747 - 2781