Homotopical Khovanov homology

被引：4
|
作者：
Manturov, Vassily Olegovich [1 ,2 ]
Nikonov, Igor Mikhailovich [3 ,4 ]
机构：
[1] Bauman Moscow State Tech Univ, Moscow, Russia
[2] Chelyabinsk State Univ, Lab Quantum Topol, Chelyabinsk, Russia
[3] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow, Russia
[4] Natl Res Univ, Higher Sch Econ, Fac Business & Management, Moscow, Russia
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2015年 / 24卷 / 13期
关键词：
Khovanov homology; homotopical grading;
D O I：
10.1142/S0218216515410035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We modify the definition of the Khovanov complex for oriented links in a thickening of an oriented surface to obtain a triply graded homological link invariant with a new homotopical grading.
引用
收藏
页数：17
相关论文
共 50 条
  • [31] AN ORIENTED MODEL FOR KHOVANOV HOMOLOGY
    Blanchet, Christian
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2010, 19 (02) : 291 - 312
  • [32] Khovanov homology for signed divides
    Couture, Olivier
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2009, 9 (04): : 1987 - 2026
  • [33] Search for Torsion in Khovanov Homology
    Mukherjee, Sujoy
    Przytycki, Jozef H.
    Silvero, Marithania
    Wang, Xiao
    Yang, Seung Yeop
    EXPERIMENTAL MATHEMATICS, 2018, 27 (04) : 488 - 497
  • [34] Khovanov Homology and Periodic Links
    Borodzik, Maciej
    Politarczyk, Wojciech
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021, 70 (01) : 235 - 267
  • [35] Equivariant annular Khovanov homology
    Akhmechet, Rostislav
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2023, 32 (02)
  • [36] SPANNING TREES AND KHOVANOV HOMOLOGY
    Champanerkar, Abhijit
    Kofman, Ilya
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (06) : 2157 - 2167
  • [37] On bordered theories for Khovanov homology
    Manion, Andrew
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2017, 17 (03): : 1557 - 1674
  • [38] Khovanov homology for alternating tangles
    Bar-Natan, Dror
    Burgos-Soto, Hernando
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2014, 23 (02)
  • [39] Khovanov homology and the slice genus
    Jacob Rasmussen
    Inventiones mathematicae, 2010, 182 : 419 - 447
  • [40] Khovanov homology: torsion and thickness
    Asaeda, MM
    Przytycki, JH
    Advances in Topological Quantum Field Theory, 2004, 179 : 135 - 166
12345