Holomorphic torsion for Hermitian locally symmetric spaces

1996/03/05 by Anton Deitmar, Deitmar, Anton
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Geometric and Algebraic Topology #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9603001

LATEX, 29 pages

arxiv created 1996/09/27 · arxiv updated 2009/11/30

Abstract

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

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• Complex valued analytic torsion and dynamical zeta function on locally symmetric spaces