Geometric Realizations and Duality for Dahmen-Micchelli Modules and De Concini-Procesi-Vergne Modules

作者：Cavazzani Francesco^*; Moci Luca

来源：Discrete & Computational Geometry, 2016, 55(1): 74-99.

DOI：10.1007/s00454-015-9745-3

• Dahmen-Micchelli
• Vector partition function
• Equivariant K-theory
• Geometric realization

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.

• 出版日期2016-1