Polytopes and K-theory
K-Theory and Homology
2007-05-23 v2 Algebraic Geometry
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.
Cite
@article{arxiv.math/0405438,
title = {Polytopes and K-theory},
author = {Winfried Bruns and Joseph Gubeladze},
journal= {arXiv preprint arXiv:math/0405438},
year = {2007}
}
Comments
final version, to appear in Georg. Math. J