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The topological trace formula

Mark Goresky·Robert MacPherson
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Abstract

The Lefschetz formula for the action of a Hecke correspondence on the weighted cohomology of a locally symmetric space is derived. It is also proven that each Hecke correspondence on the reductive Borel-Serre compactification of the locally symmetric space is weakly hyperbolic.

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Mark Goresky, Robert MacPherson. 2001-05-05. The topological trace formula. https://arxiv.org/abs/math/0105038

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