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Acyclic polarizations and localization of Riemann-Roch numbers I

By Hajime Fujita, Mikio Furuta and Takahiko Yoshida

Abstract

We define a local Riemann-Roch number for an open symplectic manifold when a completely integrable system without Bohr-Sommerfeld orbit is provided on its end. Key words and phrases. Geometric quantization, index theory, localization

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