Nicole Berline

Publications36
h-index12
Citations2,514
Highly Influential Citations217
Claim Author Page
Author pages are created from data sourced from our academic publisher partnerships and public sources.

Recommended Authors

  • M. Vergne
  • 166 Publications • 5,828 Citations
  • M. Atiyah
  • 333 Publications • 36,181 Citations
  • A. Barvinok
  • 145 Publications • 4,290 Citations
  • J. D. Loera
  • 179 Publications • 3,336 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…
How to integrate a polynomial over a simplex
TLDR
It is proved that the problem is NP-hard for arbitrary polynomials via a generalization of a theorem of Motzkin and Straus, and if the polynomial depends only on a fixed number of variables, while its degree and the dimension of the simplex are allowed to vary, it is proven that integration can be done inPolynomial time.
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…
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…
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)…
Heat Kernels and Dirac Operators: Grundlehren 298
The Equivariant Index and Kirillov's Character Formula
A proof of Bismut local index theorem for a family of Dirac operators
The equivariant Chern character and index of G-invariant Operators
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.
...
1
2
3
4
...