Abstract : In this work we shall consider smooth semifree (i.e., free outside the fixed point set) actions of S^3 on a manifold M. We exhibit a Gysin sequence relating the cohomology of M with the intersection cohomology of the orbit space M/S^3. This generalizes the usual Gysin sequence associated with a free action of S^3..
https://hal-univ-artois.archives-ouvertes.fr/hal-00439224 Contributor : Martintxo Saralegi-ArangurenConnect in order to contact the contributor Submitted on : Sunday, December 6, 2009 - 10:41:24 PM Last modification on : Friday, May 6, 2022 - 6:04:02 PM Long-term archiving on: : Thursday, October 18, 2012 - 10:05:42 AM
Martintxo Saralegi-Aranguren. A Gysin sequence for a semifree action of S^3. Proceedings of the American Mathematical Society, American Mathematical Society, 1993, 118 (4), pp.1335-1345. ⟨hal-00439224⟩