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Polytopes and K-theory | Winfried Bruns
; Joseph Gubeladze
; | Date: |
24 May 2004 | Subject: | K-Theory and Homology; Algebraic Geometry MSC-class: Primany: 19C09, 19D06, 19M05; Secondary: 14M25, 52B20 | math.KT math.AG | Abstract: | This is an overview of results from our experiment of merging two seemingly unrelated disciplines - higher algebraic K-theory of rings and the theory of lattice polytopes. The usual K-theory is the ``theory of a unit simplex’’. A conjecture is proposed on the structure of higher polyhedral K-groups for certain class of polytopes for which the coincidence of Quillen’s and Volodin’s theories is known. | Source: | arXiv, math.KT/0405438 | Services: | Forum | Review | PDF | Favorites |
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