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A Thom isomorphism in foliated de Rham theory

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arxiv 2001.11848 v3 pith:CBRWDSO4 submitted 2020-01-31 math.DG

Yi Lin , Reyer Sjamaar This is my paper · ORCID
classification math.DG
keywords foliatedisomorphismthomactionsalgebrabundlesdifferentialforms
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We prove a Thom isomorphism theorem for differential forms in the setting of transverse Lie algebra actions on foliated manifolds and foliated vector bundles.

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  1. Equivariant basic cohomology under deformations

    math.DG 2019-08 accept novelty 7.0 of 10

    Equivariant basic cohomology of a compact Killing foliation is invariant under regular deformations, and equivariant formality forces the basic Betti numbers to be invariant as well.

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