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arxiv: math/0405438 · v2 · submitted 2004-05-24 · 🧮 math.KT · math.AG

Polytopes and K-theory

classification 🧮 math.KT math.AG
keywords k-theorypolytopeshighertheoryalgebraiccertainclasscoincidence
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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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