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Equivariant Unfoldings of G-Stratified Pseudomanifolds

F. Dalmagro
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Abstract

For any abelian compact Lie group $G$, we introduce a family of $G$-stratified pseudomanifolds, whose main feature is the preservation of the orbit spaces in the category of stratified pseudomanifolds. Which generalize a previous definition given by R. Popper. We also find a sufficient condition for the existence of equivariant unfoldings, so we have Intersection Cohomology with differential forms, as defined in \cite{S}. Moreover, if $G$ act on a manifold $M$, we find a equivariant unfolding of $M$ which induces a canonical unfolding on the $k$-orbits space for every closed subgroup $K$ of $G$.

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F. Dalmagro. 2003-12-10. Equivariant Unfoldings of G-Stratified Pseudomanifolds. https://arxiv.org/abs/math/0312213

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