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arxiv: math/0303100 · v3 · submitted 2003-03-07 · 🧮 math.AT

Bordism of semi-free S¹ actions

classification 🧮 math.AT
keywords actionssemi-freebordismgeometricassociatedcalculateclassificationcobordism
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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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