Different moment-angle manifolds arising from two polytopes having the   same bigraded Betti numbers
  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. 
Suyoung Choi
math.AT math.CO