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On the classification of quasitoric manifolds over the dual cyclic polytopes

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 نشر من قبل Sho Hasui
 تاريخ النشر 2013
  مجال البحث
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 تأليف Sho Hasui




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For a simple $n$-polytope $P$, a quasitoric manifold over $P$ is a $2n$-dimensional smooth manifold with a locally standard action of the $n$-dimensional torus for which the orbit space is identified with $P$. This paper shows the topological classification of quasitoric manifolds over the dual cyclic polytope $C^n(m)^*$, when $n>3$ or $m-n=3$. Besides, we classify small covers, the real version of quasitoric manifolds, over all dual cyclic polytopes.



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