Strong cohomological rigidity of a product of projective spaces
Bull. Korean Math. Soc. 2012 Vol. 49, No. 4, 761-765
https://doi.org/10.4134/BKMS.2012.49.4.761
Published online July 1, 2012
Suyoung Choi and Dong Youp Suh
Ajou University, KAIST
Abstract : We prove that for a toric manifold (respectively, a quasitoric manifold) $M$, any graded ring isomorphism $H^\ast(M) \to H^\ast(\prod_{i=1}^{m}\mathbb CP^{n_i})$ can be realized by a diffeomorphism (respectively, a homeomorphism) $\prod_{i=1}^m \mathbb CP^{n_i} \to M$.
Keywords : product of projective spaces, generalized Bott manifold, strong cohomological rigidity, toric manifold, quasitoric manifold
MSC numbers : Primary 57S25; Secondary 22F30
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