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, duality-type correspondence for equivariant K-theory.
Cavazzani F, Moci L (2016). Geometric Realizations and Duality for Dahmen-Micchelli Modules and De Concini-Procesi-Vergne Modules. DISCRETE & COMPUTATIONAL GEOMETRY, 55(1), 74-99 [10.1007/s00454-015-9745-3].
Geometric Realizations and Duality for Dahmen-Micchelli Modules and De Concini-Procesi-Vergne Modules
MOCI, LUCA
2016
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, duality-type correspondence for equivariant K-theory.File in questo prodotto:
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