Bordism of semi-free S¹ actions

2003/03/07 by Dev Sinha, Dev P. Sinha, Sinha, Dev P. · 1 citation
Mathematics · #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:57R85

paper · pdf · doi:10.48550/arxiv.math/0303100

11 pages

arxiv created 2004/03/18 · arxiv updated 2009/11/30

Abstract

We calculate geometric and homotopical (or stable) bordism rings associated to semi-free S¹ 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

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