Intersection cohomology of circle actions
| dc.creator | Padilla, Gabriel | |
| dc.creator | Saralegi-Aranguren, Martintxo | |
| dc.date | 2004-03-04 | |
| dc.date | 2009-03-24 | |
| dc.date.accessioned | 2026-07-07T12:55:48Z | |
| dc.date.available | 2026-07-07T12:55:48Z | |
| dc.description | A classical result says that a free action of the circle $\Bbb{S}^1$ on a topological space $X$ is geometrically classified by the orbit space $B$ and by a cohomological class ${H}^{^{2}}{(B,\Bbb{Z})}$, the Euler class. When the action is not free we have a difficult open question: $Π$ : "Is the space $X$ determined by the orbit space $B$ and the Euler class?" The main result of this work is a step towards the understanding of the above question in the category of unfolded pseudomanifolds. We prove that the orbit space $B$ and the Euler class determine: * the intersection cohomology of $X$, * the real homotopy type of $X$. | |
| dc.identifier | https://arxiv.org/abs/math/0403100 | |
| dc.identifier | http://arxiv.org/abs/math/0403100 | |
| dc.identifier | Topology and its Applications 254(2007), 2764-2770 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224376 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 55N33; 57S15 | |
| dc.title | Intersection cohomology of circle actions | |
| dc.type | text |