$S^1$-equivariant local index and quantization conjecture for non-compact symplectic manifoldsReportar como inadecuado



 $S^1$-equivariant local index and quantization conjecture for non-compact symplectic manifolds


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We define an $S^1$-equivariant index for non-compact symplectic manifolds with Hamiltonian $S^1$-action. We use the perturbation by Dirac-type operator along the $S^1$-orbits. We give a formulation and a proof of quantization conjecture for this $S^1$-equivariant index. We also give a comment on the relation between our $S^1$-equivariant index and

Autor: Hajime Fujita

Fuente: https://archive.org/







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