Polytopes and 𝐾-Theory

2004 ◽  
Vol 11 (4) ◽  
pp. 655-670
Author(s):  
W. Bruns ◽  
J. Gubeladze
Keyword(s):  
Lattice Polytopes ◽  
Unit Simplex

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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Keyword(s):  
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Unit Simplex

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Keyword(s):  
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Lattice Polytopes

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...  
Keyword(s):  
Unit Simplex

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Keyword(s):  
Lattice Polytopes
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