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math.DG2001
Spin_c quantization and the K-multiplicities of the discrete series
Paul-Emile Paradan
In this paper we show that the `quantization commutes with reduction' principle of Guillemin-Sternberg holds for the coadjoint orbits that parametrize the discrete series of a real…
math.DG1999
Localization of the Riemann-Roch character
Paul-Emile Paradan
We present a K-theoritic approach to the Guillemin-Sternberg conjecture, about the commutativity of geometric quantization and symplectic reduction, which was proved by Meinrenken…