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Journal Articles Transactions of the American Mathematical Society Year : 1993

Intersection cohomology of S^1-actions

Abstract

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.
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Dates and versions

hal-00440356 , version 1 (10-12-2009)

Identifiers

  • HAL Id : hal-00440356 , version 1

Cite

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