Quantization of affine coadjoint orbits

Open Access
Author:
Peng, Guangzhong
Graduate Program:
Mathematics
Degree:
Doctor of Philosophy
Document Type:
Dissertation
Date of Defense:
August 14, 2015
Committee Members:
  • Nigel David Higson, Dissertation Advisor
  • Nigel David Higson, Committee Chair
  • Paul Frank Baum, Committee Chair
  • Ping Xu, Committee Member
  • Abhay Vasant Ashtekar, Special Member
Keywords:
  • K-homology
  • quantization
  • loop group
Abstract:
Using twisted equivariant K-homology, E. Meinrenken defined the quantization of a q-Hamiltonian space as the pushforward of the fundamental class by a Morita morphism and obtained an element in the Verlinde algebra. This dissertation explains a different way to obtain the quantization of a Hamiltonian loop group space.