Equivariant Unfoldings of G-Stratified Pseudomanifolds
| dc.creator | Dalmagro, F. | |
| dc.date | 2003-12-10 | |
| dc.date.accessioned | 2026-07-07T05:03:45Z | |
| dc.date.available | 2026-07-07T05:03:45Z | |
| dc.description | 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 $G$. | |
| dc.description | This is a paper on geometric topology which generalizes in the stratified context the procedure of Davis for blowing up a smooth manifold along a closed submanifold. We also work in the equivariant category, generalizing a previous definition of R. Popper for $G$-stratified pseudomanifolds. The main applications of this work are intended to the cohomological study of torical actions on stratified pseudomanifolds, as a particular case of iterated stratified circle actions | |
| dc.identifier | https://arxiv.org/abs/math/0312213 | |
| dc.identifier | http://arxiv.org/abs/math/0312213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69548 | |
| dc.subject | Algebraic Topology | |
| dc.subject | General Topology | |
| dc.subject | 35S35; 55N33 | |
| dc.title | Equivariant Unfoldings of G-Stratified Pseudomanifolds | |
| dc.type | text |