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Polytopes and K-theory

Winfried Bruns·Joseph Gubeladze
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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.

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Winfried Bruns, Joseph Gubeladze. 2004-06-24. Polytopes and K-theory. https://arxiv.org/abs/math/0405438

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