论文标题
量化通勤的KK理论视角通过还原
A KK-theoretic perspective of quantization commutes with reduction
论文作者
论文摘要
我们通过卡斯帕罗夫（Kasparov）最近提出的形式主义降低了Paradan-Vergne的量化通勤方法，以减少KK理论，尤其是尤其是导致其“ Witten非亚洲定位公式”的指数理论部分。尽管我们的方法使用与精神相同的成分，但进行了有趣的概念简化，并且与Ma-Tian-Zhang分析方法的关系变得非常透明。
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.
