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arxiv: 1512.06699 · v1 · pith:GISAENHMnew · submitted 2015-12-21 · 🧮 math.GT · math.GR· math.MG

The Grothendieck group of polytopes and norms

Jae Choon Cha , Stefan Friedl , Florian Funke This is my paper
classification 🧮 math.GT math.GRmath.MG
keywords groupeverygrothendieckpolytopesconstructionformgivesintegral
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Polytopes in R^n with integral vertices form a monoid under the Minkowski sum, and the Grothendieck construction gives rise to a group. We show that every symmetric polytope is a norm in this group for every n.

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