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Hamiltonian circle actions on symplectic manifolds and the signature |
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| Authors: | J. D. S. Jones and J. H. Rawnsley |
| Affiliation: | Mathematics Institute, University of Warwick, Coventry CV47AL, UK |
| Abstract: | Let M be a symplectic manifold with a Hamiltonian circle action with isolated fixed points. We prove that σ (M) = b0(M) − b2(M) + b4(M) − b6(M) + … where σ (M) is the signature of M and bi(M) is the ith Betti number of M. |
| Keywords: | Differential geometryHamilton circle actions Symplectic manifolds |
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