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Proceedings of the American Mathematical Society
Journal Article

A Gysin Sequence for Semifree Actions of S3

Martin Saralegi
Proceedings of the American Mathematical Society
Vol. 118, No. 4 (Aug., 1993), pp. 1335-1345
Published by: American Mathematical Society
DOI: 10.2307/2160096
https://www.jstor.org/stable/2160096
Page Count: 11

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Topics: Mathematical sequences, Mathematical manifolds, Social classes, Quaternions, Mathematical theorems, Morphisms
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A Gysin Sequence for Semifree Actions of S3
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Abstract

In this work we shall consider smooth semifree (i.e., free outside the fixed point set) actions of S3 on a manifold M. We exhibit a Gysin sequence relating the cohomology of M with the intersection cohomology of the orbit space M/S3. This generalizes the usual Gysin sequence associated with a free action of S3.
Proceedings of the American Mathematical Society © 1993 American Mathematical Society