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Equivariant Cohomology of $S^{1}$-Actions on $4$-Manifolds |
Canad. Math. Bull. 50(2007), 365-376
Published:2007-09-01
Printed: Sep 2007
Printed: Sep 2007
- Leonor Godinho
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 - Momentum maps; symplectic reduction 55N91 - Equivariant homology and cohomology [See also 19L47] 57S15 - Compact Lie groups of differentiable transformations |