Polytopes and K-theory

Details Polytopes and K-theory Polytopes and K-theory

2004-05-24

arxiv.org/abs/math/0405438v2

Mathematics

K-Theory and Homology

final version, to appear in Georg. Math. J

Scientific paper

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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