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math.AT2023
Smith-Gysin Sequence
J. I. Royo Prieto, M. Saralegi Aranguren, R. Wolak
Starting with a manifold and a semi-free action of on it, we have the Smith-Gysin sequence: $$ \cdots \to H^{*}( M) \to H^{*-3}(M/S^3, M^{S^3}) \oplus H^{*} (M^{S^3}) \to…
math.AT2011★ 3 cited
Equivariant intersection cohomology of the circle actions
Jose Ignacio Royo Prieto, Martintxo Saralegi-Aranguren
In this paper, we prove that the orbit space B and the Euler class of an action of the circle S^1 on X determine both the equivariant intersection cohomology of the pseudomanifold…