Analytic torsion and L²-torsion of compact locally symmetric manifolds

2012/04/03 by Werner Mueller, Mueller, Werner, Jonathan Pfaff +1 · 1 citation
Mathematics · #58J52 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Representation Theory (math.RT) #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1204.0659

openalex publication_date 2012/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the analytic torsion and the L²-torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fundamental group which are obtained by restriction of irreducible representations of the group of isometries of the underlying symmetric space. The main purpose is to study the asymptotic behavior of the analytic torsion with respect to sequences of representations associated to rays of highest weights.

Citations

• The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds

Cited by

• Asymptotics of analytic torsion for congruence quotients of SL(n,ℝ)/SO(n)

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