Nicole Berline

Publications36
h-index12
Citations2,380
Highly Influential Citations211
Claim Author Page
Author pages are created from data sourced from our academic publisher partnerships and public sources.

Recommended Authors

  • M. Vergne
  • 205 Publications • 6,511 Citations
  • A. Barvinok
  • 142 Publications • 3,789 Citations
  • J. D. Loera
  • 153 Publications • 2,844 Citations
  • V. Baldoni
  • 20 Publications • 262 Citations
  • Publications
  • Influence
Heat Kernels and Dirac Operators
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… Expand
  • 1,760
  • 169
  • PDF
Local Euler-Maclaurin formula for polytopes
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… Expand
  • 72
  • 11
  • PDF
How to integrate a polynomial over a simplex
TLDR
We prove that the problem is NP-hard for arbitrary polynomials via a generalization of a theorem of Motzkin and Straus. Expand
  • 82
  • 10
  • PDF
The Chern character of a transversally elliptic symbol and the equivariant index
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… Expand
  • 66
  • 6
  • PDF
A proof of Bismut local index theorem for a family of Dirac operators
On donne une demonstration du theoreme de Bismut basee sur le developpement classique des noyaux de la chaleur. On exprime le noyau de la chaleur du laplacien d'un fibre vectoriel comme une moyenne… Expand
  • 23
  • 3
  • PDF
Fourier Transforms of Orbits of the Coadjoint Representation
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)… Expand
  • 39
  • 3
Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra
TLDR
An efficient algorithm for computing the highest degree coefficients of the weighted Ehrhart quasi-polynomial for a rational simple polytope in varying dimension, when the weights of the lattice points are given by a polynomial function h. Expand
  • 30
  • 2
  • PDF
Heat Kernels and Dirac Operators: Grundlehren 298
  • 108
  • 2
The Equivariant Index and Kirillov's Character Formula
  • 59
  • 2
  • PDF
A computation of the equivariant index of the Dirac operator
On donne une demonstration des formules de points fixes d'Atiyah-Singer pour l'operateur de Dirac tordu sur une variete de Riemann M, en utilisant l'equation de la chaleur sur sa variete des reperes… Expand
  • 42
  • 1
  • PDF
...
1
2
3
4
...