English

Doubling operation for polytopes and torus actions

Algebraic Topology 2009-09-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0909.1050,
  title  = {Doubling operation for polytopes and torus actions},
  author = {Yury Ustinovsky},
  journal= {arXiv preprint arXiv:0909.1050},
  year   = {2009}
}
R2 v1 2026-06-21T13:43:03.481Z