K-theory and the quantization commutes with reduction problem

Nigel Higson, Yanli Song

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)703-732
Number of pages30
JournalChinese Annals of Mathematics. Series B
Volume35
Issue number5
DOIs
StatePublished - Jan 1 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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