A Gysin sequence for a semifree action of S^3

Martintxo Saralegi-Aranguren (1)

1 LML - Laboratoire de Mathématiques de Lens

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..

Keywords: cohomology d'intersection; Suite de Gysin

Domains: Mathematics [math]; Differential Geometry [math.DG]

Martintxo Saralegi-Aranguren. A Gysin sequence for a semifree action of S^3. Proceedings of the American Mathematical Society, 1993, 118 (4), pp.1335-1345. ⟨hal-00439224⟩