An odd Khovanov homotopy type

被引：7

作者：

Sarkar, Sucharit ^{[1
]}

Scaduto, Christopher ^{[2
]}

Stoffregen, Matthew ^{[3
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA

[3] MIT, Dept Math, Cambridge, MA 02142 USA

来源：

ADVANCES IN MATHEMATICS | 2020年 / 367卷

关键词：

Odd Khovanov homology; Stable homotopy refinement; HOMOLOGY;

D O I：

10.1016/j.aim.2020.107112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each link L subset of S-3 and every quantum grading j, we construct a stable homotopy type X-o(j)(L) whose cohomology recovers Ozsvath-Rasmussen-Szabo's odd Khovanov homology, (H) over tilde (i)(X-o(j)(L)) = Kh(o)(i, j)(L), following a construction of Lawson-Lipshitz-Sarkar of the even Khovanov stable homotopy type. Furthermore, the odd Khovanov homotopy type carries a Z/2 action whose fixed point set is a desuspension of the even Khovanov homotopy type. We also construct a potentially new even Khovanov homotopy type with a Z/2 action, with fixed point set a desuspension of X-o(j)(L). (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：51