The L2-torsion for representations of hyperbolic lattices

被引：0

作者：

Wassermann, Benjamin ^{[1
]}

机构：

[1] Karlsruher Inst Technol, Stuttgart, Germany

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2025年 / 17卷 / 01期

关键词：

L2-Invariants; analytic torsion; topological torsion; ANALYTIC-TORSION; R-TORSION; GROWTH; MANIFOLDS; HOMOLOGY; CHEEGER; THEOREM;

D O I：

10.1142/S1793525323500152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove equality of analytic and topological L-2-torsion associated with an odd-dimensional finite volume hyperbolic manifold and a representation of the fundamental group which extends to the ambient Lie group. This generalizes a previous result due to Luck and Schick. Alternatively, this result can be regarded as the L-2-analog of recent work by Muller and Rochon.

引用

页码：55 / 103

页数：49

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