Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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STRONG COHOMOLOGICAL RIGIDITY OF A PRODUCT OF PROJECTIVE SPACES

  • Choi, Su-Young (Department of Mathematics Ajou University) ;
  • Suh, Dong-Youp (Department of Mathematical Sciences Korea Advanced Institute of Science and Technology)
  • Received : 2011.03.29
  • Published : 2012.07.31
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Abstract

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) ${\Pi}_{i=1}^{m}\mathbb{C}P^{ni}{\rightarrow}M$.

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Acknowledgement

Supported by : National Research Foundation of Korea(KRF)

References

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