Different moment-angle manifolds arising from two polytopes having the same bigraded Betti numbers
arXiv:1209.0515 · doi:10.2140/agt.2013.13.3639
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.
9 page, 2 figures, 2 tables