Bordism of semi-free S^1 actions

Dev P. Sinha

Bordism of semi-free S^1 actions

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arxiv math/0303100 v3 pith:ASVJYELX submitted 2003-03-07 math.AT

Dev P. Sinha This is my paper · ORCID

classification math.AT

keywords actionssemi-freebordismgeometricassociatedcalculateclassificationcobordism

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abstract

We calculate geometric and homotopical (or stable) bordism rings associated to semi-free $S^1$ actions on complex manifolds, giving explicit generators for the geometric theory. The classification of semi-free actions with isolated fixed points up to cobordism complements similar results from symplectic geometry.

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Fixed points and semifree bordism
math.AT 2019-08 accept novelty 6.0 of 10

The paper gives an elementary fixed-point proof that semifree S1-equivariant complex bordism with isolated fixed points is Z[S2], recovering Sinha's theorem.

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