Kuperberg invariants for balanced sutured 3-manifolds

被引：3
|
作者：
Neumann, Daniel Lopez [1 ]
机构：
[1] Univ Paris, Inst Math Jussieu Paris Rive Gauche, Paris, France
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2021年 / 73卷 / 06期
基金：
欧盟地平线“2020”;
关键词：
Kuperberg invariants; Hopf algebras; sutured manifolds; Reidemeister torsion; HOLOMORPHIC DISKS; HOPF-ALGEBRAS;
D O I：
10.4153/S0008414X20000656
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct quantum invariants of balanced sutured 3-manifolds with a Spin(c) structure out of an involutive (possibly nonunimodular) Hopf superalgebra H. If H is the Borel subalgebra of U-q (gl(1 vertical bar 1)), we show that our invariant is computed via Fox calculus, and it is a normalization of Reidemeister torsion. The invariant is defined via a modification of a construction of Kuperberg, where we use the Spin(c) structure to take care of the nonunimodularity of H or H*.
引用
收藏
页码：1698 / 1742
页数：45
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