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.

Geometric Realizations and Duality for Dahmen-Micchelli Modules and De Concini-Procesi-Vergne Modules / Cavazzani F; Moci L. - In: DISCRETE & COMPUTATIONAL GEOMETRY. - ISSN 0179-5376. - STAMPA. - 55:1(2016), pp. 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.
2016
Geometric Realizations and Duality for Dahmen-Micchelli Modules and De Concini-Procesi-Vergne Modules / Cavazzani F; Moci L. - In: DISCRETE & COMPUTATIONAL GEOMETRY. - ISSN 0179-5376. - STAMPA. - 55:1(2016), pp. 74-99. [10.1007/s00454-015-9745-3]
Cavazzani F; Moci L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/676912
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