Equivariant torsion of locally symmetric spaces

1996/03/05 by Anton Deitmar, Deitmar, Anton
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9603002

LATEX, 24 pages

arxiv created 1996/03/05 · arxiv updated 2009/11/30

Abstract

The equivariant holomorphic torsion of a compact locally symmetric manifold and an automorphism is expressed as a special value of a zeta function built out of geometric data (closed geodesics) of the manifold.

Related

• Holomorphic torsion for Hermitian locally symmetric spaces
• Holomorphic torsion and geometric zeta functions for certain Hermitian locally symmetric manifolds
• Geometric Zeta Functions, L²-Theory, and Compact Shimura Manifolds
• The Equivariant Cheeger-Müller Theorem on Locally Symmetric Spaces
• Analytic torsion and L²-torsion of compact locally symmetric manifolds