Cohomological non-rigidity of generalized real Bott manifolds of height 2 |
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Authors: | Mikiya Masuda |
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Affiliation: | (1) Michigan State University, East Lansing, USA; |
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Abstract: | We investigate the following problem: When do two generalized real Bott manifolds of height 2 have isomorphic cohomology rings with ?/2 coefficients and also when are they diffeomorphic? It turns out that in general cohomology rings with ?/2 coefficients do not distinguish those manifolds up to diffeomorphism. This gives a negative answer to the cohomological rigidity problem for real toric manifolds posed earlier by Y. Kamishima and the present author. We also prove that generalized real Bott manifolds of height 2 are diffeomorphic if they are homotopy equivalent. |
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