Intersection cohomology of S^1-actions

Gilbert Hector (1) , Martintxo Saralegi-Aranguren (2)

1 ICJ - Institut Camille Jordan
2 LML - Laboratoire de Mathématiques de Lens

In this work we shall consider smooth action of S^1 on a manifold M. We exhibit a Gysin sequence relating the cohomology of M with the intersection cohomology of the orbit space M/S^1. This generalizes the usual Gysin sequence associated with a free action of S^1. We also study the vanishiing of the assocaied Euler class.

Keywords: Suite de Gysin; cohomology d'intersection

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

Gilbert Hector, Martintxo Saralegi-Aranguren. Intersection cohomology of S^1-actions. Transactions of the American Mathematical Society, 1993, 33!, pp.263-288. ⟨hal-00440356⟩