7 citations · 7 across the 1 of their papers we have counts for
3 papers
math.SG2004★ 7 cited
Jump formulas in Hamiltonian Geometry
Paul-Emile Paradan
This paper is concerned with the Hamiltonian actions of a torus on a symplectic manifold. We are interested here in two global invariants: the Duistermaat-Heckman measure DH(M), an…
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…