Strong cohomological rigidity of a product of projective spaces

Details Strong cohomological rigidity of a product of projective spaces Strong cohomological rigidity of a product of projective spaces

2009-12-24

arxiv.org/abs/0912.4791v1

Mathematics

Algebraic Topology

Scientific paper

We prove that for a toric manifold $M$, any graded ring isomorphism
$H^\ast(M) \to H^\ast(\prod_{i=1}^{m}\CP^{n_i})$ is induced by a diffeomorphism
$\prod_{i=1}^m \CP^{n_i} \to M$.

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