English

Examples of toric manifolds which are not quasitoric manifolds

Algebraic Geometry 2014-11-26 v1 Algebraic Topology Combinatorics

Abstract

We construct toric manifolds of complex dimension 4\geq 4, whose orbit spaces by the action of the compact torus are not homeomorphic to simple polytopes (as manifolds with corners). These provide the first known examples of toric manifolds which are not quasitoric manifolds.

Keywords

Cite

@article{arxiv.1312.5973,
  title  = {Examples of toric manifolds which are not quasitoric manifolds},
  author = {Yusuke Suyama},
  journal= {arXiv preprint arXiv:1312.5973},
  year   = {2014}
}

Comments

9 pages, 12 figures