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

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

2007-03-12

arxiv.org/abs/math/0703320v1

Mathematics

Geometric Topology

23pages

Scientific paper

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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