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

页数：17

共 50 条

[21] SURFACES WITH PULLEYS AND KHOVANOV HOMOLOGY
Audoux, B.
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2011, 20 (07) : 1021 - 1040
[22] The decategorification of bordered Khovanov homology
Roberts, Lawrence P.
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2014, 23 (14)
[23] Khovanov Homology Theories and Their Applications
Shumakovitch, Alexander
PERSPECTIVES IN ANALYSIS, GEOMETRY, AND TOPOLOGY: ON THE OCCASION OF THE 60TH BIRTHDAY OF OLEG VIRO, 2012, 296 : 403 - 430
[24] Khovanov homology and knot Floer homology for pointed links
Baldwin, John A.
Levine, Adam Simon
Sarkar, Sucharit
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2017, 26 (02)
[25] A Turaev surface approach to Khovanov homology
Dasbach, Oliver T.
Lowrance, Adam M.
QUANTUM TOPOLOGY, 2014, 5 (04) : 425 - 486
[26] On Stable Khovanov Homology of Torus Knots
Gorsky, Eugene
Oblomkov, Alexei
Rasmussen, Jacob
EXPERIMENTAL MATHEMATICS, 2013, 22 (03) : 265 - 281
[27] On transverse invariants from Khovanov homology
Lipshitz, Robert
Ng, Lenhard
Sarkar, Sucharit
QUANTUM TOPOLOGY, 2015, 6 (03) : 475 - 513
[28] A SPANNING TREE MODEL FOR KHOVANOV HOMOLOGY
Wehrli, S.
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2008, 17 (12) : 1561 - 1574
[29] Surgery obstructions from Khovanov homology
Watson, Liam
SELECTA MATHEMATICA-NEW SERIES, 2012, 18 (02): : 417 - 472
[30] Khovanov homology, wedges of spheres and complexity
Przytycki, Jozef H.
Silvero, Marithania
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (03)

← 1 2 3 4 5 →