Doubling operation for polytopes and torus actions

Details Doubling operation for polytopes and torus actions Doubling operation for polytopes and torus actions

2009-09-05

arxiv.org/abs/0909.1050v1

Russian Math. Surveys 64 (2009) no.5

Mathematics

Algebraic Topology

Scientific paper

In this note we give the definition of the "doubling operation" for simple
polytopes, find the formula for the h-polynomial of new polytope.As an
application of this operation we establish the relationship between
moment-angle manifolds and their real analogues and prove the toral rank
conjecture for moment-angle manifolds Z_P.

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