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Hamiltonian circle actions on symplectic manifolds and the signature

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UNSPECIFIED (1997) Hamiltonian circle actions on symplectic manifolds and the signature. JOURNAL OF GEOMETRY AND PHYSICS, 23 (3-4). pp. 301-307. ISSN 0393-0440

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Abstract

Let M be a symplectic manifold with a Hamiltonian circle action with isolated 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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Journal or Publication Title: JOURNAL OF GEOMETRY AND PHYSICS
Publisher: ELSEVIER SCIENCE BV
ISSN: 0393-0440
Date: November 1997
Volume: 23
Number: 3-4
Number of Pages: 7
Page Range: pp. 301-307
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/16158

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