Vector partition function and generalized Dahmen-Micchelli spaces

Abstract

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 related to partition functions. The applications to index theory will appear in a subsequent paper.

21 pages. New title. Various, mostly notational, improvements

References in corpus (1)

• Jump formulas in Hamiltonian Geometry

Cited by in corpus (6)

• Hierarchical zonotopal power ideals
• Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules
• On some counting problems for semi-linear sets
• Partial fraction decompositions and an algorithm for computing the vector partition function
• The Parikh functions of sparse context-free languages are quasi-polynomials
• The arithmetic Tutte polynomials of the classical root systems