Bordism of Semi-free S 1-actions
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چکیده
We calculate the geometric and homotopical (or stable) bordism rings associated to semi-free S 1 actions on complex manifolds, giving explicit generators for the geometric theory. To calculate the geometric theory, we prove a case of the geometric realization conjecture, which in general would determine the geometric theory in terms of the homotopical. The determination of semi-free actions with isolated fixed points up to cobordism complements similar results from symplectic geometry.
منابع مشابه
Bordism of Semi-free S 1-actions
We calculate geometric and homotopical 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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We calculate geometric and homotopical 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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