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Hamiltonian circle actions on symplectic manifolds and the signature

✍ Scribed by J.D.S. Jones; J.H. Rawnsley


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
400 KB
Volume
23
Category
Article
ISSN
0393-0440

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A result on the A and elliptic genera on
✍ HaydeΓ© Herrera; Rafael Herrera πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 51 KB

We prove the vanishing of the A-genus of compact smooth manifolds with finite second homotopy group and endowed with smooth S 1 actions. These manifolds are not necessarily spin, hence, this vanishing extends that of Atiyah and Hirzebruch on spin manifolds with S 1 actions. The proof is accomplished