• Title/Summary/Keyword: generalized Bott manifold

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STRONG COHOMOLOGICAL RIGIDITY OF A PRODUCT OF PROJECTIVE SPACES

  • Choi, Su-Young;Suh, Dong-Youp
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.761-765
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    • 2012
  • We prove that for a toric manifold (respectively, a quasitoric manifold) M, any graded ring isomorphism $H^*(M){\rightarrow}H^*({\Pi}_{i=1}^{m}\mathbb{C}P^{ni})$ can be realized by a diffeomorphism (respectively, a homeomorphism) ${\Pi}_{i=1}^{m}\mathbb{C}P^{ni}{\rightarrow}M$.