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arXiv · 1303.0902

Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules

Francesco Cavazzani·Luca Moci
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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.

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BibTeXRIS

Francesco Cavazzani, Luca Moci. 2013-03-05. Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules. https://arxiv.org/abs/1303.0902

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