Different moment-angle manifolds arising from two polytopes having the same bigraded Betti numbers
Algebraic Topology
2014-10-01 v1 Combinatorics
Abstract
Two simple polytopes of dimension 3 having the identical bigraded Betti numbers but non-isomorphic Tor-algebras are presented. These polytopes provide two homotopically different moment-angle manifolds having the same bigraded Betti numbers. These two simple polytopes are the first examples of polytopes that are (toric) cohomologically rigid but not combinatorially rigid.
Keywords
Cite
@article{arxiv.1209.0515,
title = {Different moment-angle manifolds arising from two polytopes having the same bigraded Betti numbers},
author = {Suyoung Choi},
journal= {arXiv preprint arXiv:1209.0515},
year = {2014}
}
Comments
9 page, 2 figures, 2 tables