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arXiv · 1008.5007

Torus fibrations and localization of index III

Hajime Fujita·Mikio Furuta·Takahiko Yoshida
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Abstract

This paper is the third of the series concerning the localization of the index of Dirac-type operators. In our previous papers we gave a formulation of index of Dirac-type operators on open manifolds under some geometric setting, whose typical example was given by the structure of a torus fiber bundle on the ends of the open manifolds. We introduce two equivariant versions of the localization. As an application we give a proof of Guillemin-Sternberg's quantization conjecture in the case of torus action.

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Hajime Fujita, Mikio Furuta, Takahiko Yoshida. 2014-02-27. Torus fibrations and localization of index III. https://doi.org/10.1007/s00220-014-2039-4

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