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arXiv · 2011.00643

A KK-theoretic perspective of quantization commutes with reduction

Rudy Rodsphon
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Abstract

We reframe Paradan-Vergne's approach to quantization commutes with reduction in KK-theory through a recent formalism introduced by Kasparov, focusing more especially the index theoretic parts that lead to their "Witten non-abelian localization formula". While our method uses the same ingredients as their's in spirit, interesting conceptual simplifications occur, and the relationship to the Ma-Tian-Zhang analytic approach becomes quite transparent.

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Rudy Rodsphon. 2020-11-01. A KK-theoretic perspective of quantization commutes with reduction. https://arxiv.org/abs/2011.00643

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