A Gysin sequence for semifree actions of 𝑆³

Saralegi, Martin

doi:10.1090/S0002-9939-1993-1184085-X

A Gysin sequence for semifree actions of $\textbf {S}^ 3$
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Proc. Amer. Math. Soc. 118 (1993), 1335-1345 Request permission

Abstract:

In this work we shall consider smooth semifree (i.e., free outside the fixed point set) actions of ${{\mathbf {S}}^3}$ on a manifold $M$. We exhibit a Gysin sequence relating the cohomology of $M$ with the intersection cohomology of the orbit space $M/{{\mathbf {S}}^3}$. This generalizes the usual Gysin sequence associated with a free action of ${{\mathbf {S}}^3}$.

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