Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules
K-Theory and Homology
2015-09-30 v6 Algebraic Topology
Combinatorics
Representation Theory
Abstract
We give an algebraic description of several modules and algebras related to the vector partition function, and we prove that they can be realized as the equivariant K-theory of some manifolds that have a nice combinatorial description. We also propose a more natural and general notion of duality between these modules, which corresponds to a Poincar\'e duality-type correspondence for equivariant K-theory.
Cite
@article{arxiv.1303.0902,
title = {Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules},
author = {Francesco Cavazzani and Luca Moci},
journal= {arXiv preprint arXiv:1303.0902},
year = {2015}
}
Comments
Final version, to appear on Discrete and Computational Geometry