97 citations · 456 across the 44 of their papers we have counts for
5 papers · 1 filter
How to Integrate a Polynomial over a Simplex
Velleda Baldoni, Nicole Berline, Jesus De Loera +2
This paper settles the computational complexity of the problem of integrating a polynomial function f over a rational simplex. We prove that the problem is NP-hard for arbitrary po…
Vector partition function and generalized Dahmen-Micchelli spaces
C. De Concini, C. Procesi, M. Vergne
This is the first of two papers on partition functions and the index theory of transversally elliptic operators. In this paper we only discuss algebraic and combinatorial issues re…
Index of transversally elliptic operators
Paul-Emile Paradan, Michèle Vergne
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 fo…
Paradan's wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator
Arzu Boysal, Michele Vergne
We give an elementary algebraic proof of Paradan's wall crossing formulae for partition functions. We also express such jumps in volume and partition functions by one dimensional r…
Equivariant Chern characters with generalized coefficients
Paul-Emile Paradan, Michèle Vergne
These notes form the next episode in a series of articles dedicated to a detailed proof of a cohomological index formula for transversally elliptic pseudo-differential operators an…