摘要

Two simple polytopes of dimension 3 having identical bigraded Betti numbers but nonisomorphic 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) coho-mologically rigid but not combinatorially rigid.

  • 出版日期2013