Geodesic
Equivariant Cohomology of S 1-Actions on 4-Manifolds
Canadian mathematical bulletin, Tome 50 (2007) no. 3, pp. 365-376

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DOI

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.
DOI : 10.4153/CMB-2007-035-3
Mots-clés : 53D20, 55N91, 57S15 
Godinho, Leonor. Equivariant Cohomology of S 1-Actions on 4-Manifolds. Canadian mathematical bulletin, Tome 50 (2007) no. 3, pp. 365-376. doi: 10.4153/CMB-2007-035-3
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     author = {Godinho, Leonor},
     title = {Equivariant {Cohomology} of {S} {1-Actions} on {4-Manifolds}},
     journal = {Canadian mathematical bulletin},
     pages = {365--376},
     year = {2007},
     volume = {50},
     number = {3},
     doi = {10.4153/CMB-2007-035-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-035-3/}
}
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