Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Share This Author
Heat Kernels and Dirac Operators
- Nicole Berline, E. Getzler, M. Vergne
- Mathematics
- 1 April 1992
The past few years have seen the emergence of new insights into the Atiyah-Singer Index Theorem for Dirac operators. In this book, elementary proofs of this theorem, and some of its more recent…
How to integrate a polynomial over a simplex
- V. Baldoni, Nicole Berline, J. D. Loera, M. Köppe, M. Vergne
- Mathematics, Computer ScienceMath. Comput.
- 11 September 2008
TLDR
Local Euler-Maclaurin formula for polytopes
- Nicole Berline, M. Vergne
- Mathematics
- 13 July 2005
We give a local Euler-Maclaurin formula for rational convex polytopes in a rational euclidean space . For every affine rational polyhedral cone C in a rational euclidean space W, we construct a…
The Chern character of a transversally elliptic symbol and the equivariant index
- Nicole Berline, M. Vergne
- Mathematics
- 18 January 1996
Abstract. Let G be a compact Lie group acting on a compact manifold M. In this article, we associate to a G-transversally elliptic symbol on M a G-invariant generalized function on G, constructed in…
Fourier Transforms of Orbits of the Coadjoint Representation
- Nicole Berline, M. Vergne
- Mathematics
- 1983
Let G be a compact Lie group with Lie algebra g. Let 0 ⊂ g* be an orbit of G under the coadjoint representation of maximal dimension 2n. For f ∈ 0, we denote by G(f) the stabilizer of f and t = ℊ(f)…
The Equivariant Index and Kirillov's Character Formula
- Nicole Berline, M. Vergne
- Mathematics
- 1 October 1985
A proof of Bismut local index theorem for a family of Dirac operators
- Nicole Berline, M. Vergne
- Mathematics
- 1987
The equivariant Chern character and index of G-invariant Operators
- Nicole Berline, M. Vergne
- Mathematics
- 1992
Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra
- V. Baldoni, Nicole Berline, J. D. Loera, M. Köppe, M. Vergne
- MathematicsFound. Comput. Math.
- 6 November 2010
TLDR
...
1
2
3
4
...