K-Theory and the Quantization Commutes with Reduction Problem

作     者：Nigel HIGSON Yanli SONG 

作者机构：Department of Mathematics Pennsylvania State University University Park Department of Mathematics University of TorontoRoom 6290 40 St. George Street Toronto OntarioCanada M5S2E4 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2014年第35卷第5期

页      面：703-732页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Symplectic reduction Quantization K-Theory K-Homology CompactLie groups 

摘      要：The authors examine the quantization commutes with reduction phenomenon for Hamiltonian actions of compact Lie groups on closed symplectic manifolds from the point of view of topological K-theory and K-homology. They develop the machinery of K-theory wrong-way maps in the context of orbifolds and use it to relate the quantization commutes with reduction phenomenon to Bott periodicity and the K-theory formulation of the Weyl character formula.