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A Coincidence Formula for Foliated Manifolds

2003/06/02 by Bernd Muemken, Muemken, Bernd
Mathematics · #37C25 (Secondary) #57R30 (Primary) 58A12 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #math.GT #msc:37C25 #msc:57R30 #msc:58A12

paper · pdf · doi:10.48550/arxiv.math/0306031

17 pages

arxiv created 2003/06/02 · openalex publication_date 2003/06/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main result of the present paper is a coincidence formula for foliated manifolds. To prove this we establish Kuenneth formula, Poincare duality and intersection product in the context of tangential de Rham cohomology and homology of tangential currents. We apply the formula to get a dynamical Lefschetz formula for foliated flows.

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