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- W2996921510 abstract "Abstract In an earlier article we introduced a new definition for the ‘quantization’ of a Hamiltonian loop group space M , involving the equivariant L 2 -index of a Dirac-type operator D on a non-compact finite dimensional submanifold Y of M . In this article we study a deformation of this operator, similar to the work of Tian-Zhang and Ma-Zhang. We obtain a formula for the index with infinitely many non-trivial contributions, indexed by the components of the critical set of the norm-square of the moment map. This is the main part of a new proof of the [ Q , R ] = 0 theorem for Hamiltonian loop group spaces." @default.
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- W2996921510 date "2020-05-01" @default.
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- W2996921510 title "Norm-square localization and the quantization of Hamiltonian loop group spaces" @default.
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