HAMILTONIAN CIRCLE-ACTIONS ON SYMPLECTIC-MANIFOLDS AND THE SIGNATURE

Citation
Jds. Jones et Jh. Rawnsley, HAMILTONIAN CIRCLE-ACTIONS ON SYMPLECTIC-MANIFOLDS AND THE SIGNATURE, Journal of geometry and physics, 23(3-4), 1997, pp. 301-307
Citations number
4
ISSN journal
03930440
Volume
23
Issue
3-4
Year of publication
1997
Pages
301 - 307
Database
ISI
SICI code
0393-0440(1997)23:3-4<301:HCOSAT>2.0.ZU;2-M
Abstract
Let M be a symplectic manifold with a Hamiltonian circle action with i solated fixed points. We prove that sigma (M) = b(0) (M) - b(2) (M) b(4) (M) - b(6) (M) + ... where sigma (M) is the signature of M and bi (M) is the ith Betti number of M.