Virtual Polytopes

View/ Open
Date
2015-04-10MFO Scientific Program
Research in Pairs 2014Series
Oberwolfach Preprints;2015,02Author
Panina, Gaiane
Streinu, Ileana
Metadata
Show full item recordOWP-2015-02
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.