A type D structure in Khovanov homology

被引：9
|
作者：
Roberts, Lawrence P. [1 ]
机构：
[1] Univ Alabama, Dept Math, 345 Gordon Palmer Hall, Tuscaloosa, AL 35487 USA
来源：
ADVANCES IN MATHEMATICS | 2016年 / 293卷
关键词：
Khovanov homology; Bordered Floer homology; Invariants of tangles; CATEGORIFICATION; TANGLES;
D O I：
10.1016/j.aim.2016.02.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe the first part of a gluing theory for the bigraded Khovanov homology with Z-coefficients. This part associates a type D structure to a tangle properly embedded in a half space and proves that the homotopy class of the type D structure is an invariant of the isotopy class of the tangle. The construction is modeled off bordered Heegaard-Floer homology, but uses only combinatorial/diagrammatic methods. (C) 2016 Elsevier Inc. All rights reserved.
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页码：81 / 145
页数：65
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