The first homology of the group of equivariant diffeomorphisms and its application

Kojun Abe; Kazuhiko Fukui

doi:10.1112/jtopol/jtn008

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The first homology of the group of equivariant diffeomorphisms and its application

Kojun Abe·Kazuhiko Fukui

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Abstract

Let V be a representation space of a finite group G. We determine the group structure of the first homology of the equivariant diffeomorphism group of V. Then we can apply it to the calculation of the first homology of the corresponding automorphism groups of smooth orbifolds, compact Hausdorff foliations, codimension one or two compact foliations and a locally free circle action on the 3-sphere.

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BibTeX RIS

Kojun Abe, Kazuhiko Fukui. 2007-03-12. The first homology of the group of equivariant diffeomorphisms and its application. https://doi.org/10.1112/jtopol%2Fjtn008

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