The Guillemin-Sternberg conjecture for noncompact groups and spaces

  title={The Guillemin-Sternberg conjecture for noncompact groups and spaces},
  author={P. Landsman},
  journal={Journal of K-theory},
  • P. Landsman
  • Published 2005
  • Mathematics, Physics
  • Journal of K-theory
  • The Guillemin-Sternberg conjecture states that "quantisation commutes with reduction" in a specific technical setting. So far, this conjecture has almost exclusively been stated and proved for compact Lie groups G acting on compact symplectic manifolds, and, largely due to the use of Spin c Dirac operator techniques, has reached a high degree of perfection under these compactness assumptions. In this paper we formulate an appropriate Guillemin-Sternberg conjecture in the general case, under the… CONTINUE READING
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