Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

Alan Weinstein; Eric Leichtnam; Louis Boutet de Monvel; Xiang Tang

arxiv: 0808.1365 · v1 · pith:V2MTJ4ZP · submitted 2008-08-09 · math.DG · math.CV

Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

Louis Boutet de Monvel , Eric Leichtnam , Xiang Tang , Alan Weinstein This is my paper

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keywords indexequivariantoperatorsrelativestructurestoeplitzasymptoticatiyah-weinstein

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Using equivariant Toeplitz operator calculus, we give a new proof of the Atiyah-Weinstein conjecture on the index of Fourier integral operators and the relative index of CR structures.

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Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

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