Virtual Polytopes
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OWP2015_02.pdf (5.170Mb)Date
2015-04-10MFO Scientific Program
Research in Pairs 2014Series
Oberwolfach Preprints;2015,02Metadata
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Abstract
Originating in diverse branches of mathematics, from polytope algebra and toric varieties to the theory of stressed graphs, virtual polytopes represent a natural algebraic generalization of convex polytopes. Introduced as the Grothendick group associated to the semigroup of convex polytopes, they admit a variety of geometrizations. A selection of applications demonstrates their versatility.
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