STRONG COHOMOLOGICAL RIGIDITY OF A PRODUCT OF PROJECTIVE SPACES

Title & Authors
STRONG COHOMOLOGICAL RIGIDITY OF A PRODUCT OF PROJECTIVE SPACES
Choi, Su-Young; Suh, Dong-Youp;

Abstract
We prove that for a toric manifold (respectively, a quasitoric manifold) M, any graded ring isomorphism $\small{H^*(M){\rightarrow}H^*({\Pi}_{i=1}^{m}\mathbb{C}P^{ni})}$ can be realized by a diffeomorphism (respectively, a homeomorphism) $\small{{\Pi}_{i=1}^{m}\mathbb{C}P^{ni}{\rightarrow}M}$.
Keywords
product of projective spaces;generalized Bott manifold;strong cohomological rigidity;toric manifold;quasitoric manifold;
Language
English
Cited by
1.
Torus manifolds and non-negative curvature, Journal of the London Mathematical Society, 2015, 91, 3, 667
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