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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 |
| Institution: | 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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