Geodesic
Different moment-angle manifolds arising from two polytopes having the same bigraded Betti numbers
Choi, Suyoung1
1Department of Mathematics, Ajou University, San 5, Woncheon-dong, Yeongtong-gu, Suwon 443-749, South Korea
Algebraic and Geometric Topology, Tome 13 (2013) no. 6, pp. 3639-3649
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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) cohomologically rigid but not combinatorially rigid.

DOI : 10.2140/agt.2013.13.3639
Classification : 55N99, 05A15
Keywords: moment-angle manifold, bigraded Betti number, Tor–algebra, cohomological rigidity, combinatorial rigidity

Choi, Suyoung  1

1 Department of Mathematics, Ajou University, San 5, Woncheon-dong, Yeongtong-gu, Suwon 443-749, South Korea 
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Choi, Suyoung. Different moment-angle manifolds arising from two polytopes having the same bigraded Betti numbers. Algebraic and Geometric Topology, Tome 13 (2013) no. 6, pp. 3639-3649. doi: 10.2140/agt.2013.13.3639

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