Abstract
Two simple polytopes of dimension 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) cohomologically rigid but not combinatorially rigid.
Citation
Suyoung Choi. "Different moment-angle manifolds arising from two polytopes having the same bigraded Betti numbers." Algebr. Geom. Topol. 13 (6) 3639 - 3649, 2013. https://doi.org/10.2140/agt.2013.13.3639
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