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Equivariant Cohomology of $S^{1}$-Actions on $4$-Manifolds

  Published:2007-09-01
 Printed: Sep 2007
  • Leonor Godinho
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Abstract

Let $M$ be a symplectic $4$-dimensional manifold equipped with a Hamiltonian circle action with isolated fixed points. We describe a method for computing its integral equivariant cohomology in terms of fixed point data. We give some examples of these computations.
MSC Classifications: 53D20, 55N91, 57S15 show english descriptions Momentum maps; symplectic reduction
Equivariant homology and cohomology [See also 19L47]
Compact Lie groups of differentiable transformations
53D20 - Momentum maps; symplectic reduction
55N91 - Equivariant homology and cohomology [See also 19L47]
57S15 - Compact Lie groups of differentiable transformations
 

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