On the decategorification of some higher actions in Heegaard Floer homology

被引：0
|
作者：
Manion, Andrew [1 ]
机构：
[1] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2024年 / 24卷 / 02期
基金：
美国国家科学基金会;
关键词：
TQFTS;
D O I：
10.2140/agt.2024.24.1157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We decategorify the higher actions on bordered Heegaard Floer strands algebras from recent work of Rouquier and the author, and identify the decategorifications with certain actions on exterior powers of homology groups of surfaces. We also suggest an interpretation for these actions in the language of open -closed TQFT, and we prove a corresponding gluing formula.
引用
收藏
页码：1157 / 1182
页数：29
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