Representation variety of free or surface groups and Reidemeister torsion

被引：1

作者：

Hezenci, Fatih ^{[1
]}

Sozen, Yasar ^{[2
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[2] Hacettepe Univ, Fac Sci, Dept Math, Ankara, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 04期

关键词：

Reidemeister torsion; representation varieties; Atiyah-Bott-Goldman symplectic form; symplectic chain complex; hyperbolic; 3-manifolds; FUNDAMENTAL-GROUPS; ANALYTIC TORSION; R-TORSION; MODULI;

D O I：

10.55730/1300-0098.3169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For G is an element of {GL(n, C), SL(n, C)} , we consider G-valued representations of free or surface group with genus > 1. We establish a formula for computing Reidemeister torsion of such representations in terms of Atiyah-Bott-Goldman symplectic form for G. Furthermore, we apply the obtained results to hyperbolic 3-manifolds.

引用

页码：1408 / 1423

页数：16

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