A Coincidence Formula for Foliated Manifolds

Mathematics – Geometric Topology

Scientific paper

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17 pages

Scientific paper

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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