Equivariant Torsion of Locally Symmetric Spaces
نویسندگان
چکیده
In this paper we express the equivariant torsion of an Hermitian locally symmetric space in terms of geometrical data from closed geodesics and their Poincaré maps. For a Hermitian locally symmetric space Y and a holomorphic isometry g we define a zeta function Z(s) for <(s) 0, whose definition involves closed geodesics and their Poincaré maps. We show that Z extends meromorphically to the entire plane and that its leading coefficient at s = 0 equals the quotient of the equivariant torsion over the equivariant Ltorsion.
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EQUIVARIANT TORSION OF LOCALLY SYMMETRICSPACESAnton
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