20 citations · 94 across the 26 of their papers we have counts for
8 papers · 1 filter
The Horn cone associated with symplectic eigenvalues
Paul-Emile Paradan
In this note, we show that the Horn cone associated with symplectic eigenvalues admits the same inequalities as the classical Horn cone, except that the equality corresponding to T…
Witten non abelian localization for equivariant K-theory, and the [Q,R]=0 theorem
Paul-Emile Paradan, Michèle Vergne
The purpose of the present paper is two-fold. First, we obtain a non-abelian localization theorem when M is any even dimensional compact manifold : following an idea of E. Witten,…
The multiplicities of the equivariant index of twisted Dirac operators
Paul-Emile Paradan, Michèle Vergne
In this note, we give a geometric expression for the multiplicities of the equivariant index of a Dirac operator twisted by a line bundle.
Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series
Paul-Emile Paradan
In this paper we show that the multiplicities of holomorphic discrete series representations relatively to reductive subgroups satisfy the credo "Quantization commutes with reducti…
Spin-quantization commutes with reduction
Paul-Emile Paradan
In this paper, we prove that the "quantization commutes with reduction" phenomenon of Guillemin-Sternberg applies in the context of the metaplectic correction.
Formal geometric quantization II
Paul-Emile Paradan
In this paper we pursue the study of formal geometric quantization of non-compact Hamiltonian manifolds. Our main result is the proof that two quantization process coincide. This f…