Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Localization of the Riemann–Roch Character

- P. Paradan
- Mathematics
- 4 November 1999

Abstract We present a K-theoretic approach to the Guillemin–Sternberg conjecture (V. Guillemin and S. Sternberg, Invent. Math. 67 (1982), 515–538), about the commutativity of geometric quantization… Expand

92 23- PDF

Spinc-quantization and the K-multiplicities of the discrete series

- P. Paradan
- Mathematics
- 30 March 2001

Abstract In the 70s, W. Schmid has shown that the representations of the discrete series of a real semi-simple Lie group G could be realized as the quantization of elliptic coadjoint orbits. In this… Expand

41 11- PDF

The multiplicities of the equivariant index of twisted Dirac operators

- P. Paradan, M. Vergne
- Mathematics
- 8 April 2014

In this note, we give a geometric expression for the multiplicities of the equivariant index of a Dirac operator twisted by a line bundle.

14 7- PDF

The moment map and equivariant cohomology with generalized coefficients

- P. Paradan
- Mathematics
- 1 March 2000

Abstract Let M be a symplectic manifold acted on by a compact Lie group G in a Hamiltonian fashion, with proper moment map. In this situation we introduce a pushforward morphism P : H ∗ G (M)→ M −∞ (… Expand

39 5

Multiplicities of the discrete series

- P. Paradan
- Mathematics
- 28 November 2008

The purpose of this paper is to show that the multiplicities of a discrete series representation relatively to a compact subgroup can be ``computed'' geometrically, in the way predicted by the… Expand

24 5- PDF

Formal geometric quantization II

- P. Paradan
- Mathematics
- 24 June 2009

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 fact was obtained by… Expand

35 5- PDF

Index of transversally elliptic operators

- P. Paradan, M. Vergne
- Mathematics
- 8 April 2008

In 1996, Berline and Vergne gave a cohomological formula for the index of a transversally elliptic operator. In this paper we propose a new point of view where the cohomological formulae make use of… Expand

37 4- PDF

Jump formulas in Hamiltonian Geometry

- P. Paradan
- Mathematics
- 13 November 2004

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), and the Riemann-Roch… Expand

8 3- PDF

Witten non abelian localization for equivariant K-theory, and the [Q,R]=0 theorem

- P. Paradan, M. Vergne
- Mathematics
- 28 April 2015

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, we deform an… Expand

24 2- PDF

Equivariant relative Thom forms and Chern characters

- P. Paradan, M. Vergne
- Mathematics
- 25 November 2007

These notes are the first chapter of a monograph, dedicated to a detailed proof of the equivariant index theorem for transversally elliptic operators. In this preliminary chapter, we prove a certain… Expand

13 2- PDF

...

1

2

3

4

...