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.
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Higson, N., Song, Y. K-theory and the quantization commutes with reduction problem. Chin. Ann. Math. Ser. B 35, 703–732 (2014). https://doi.org/10.1007/s11401-014-0856-6
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DOI: https://doi.org/10.1007/s11401-014-0856-6