Topological classification of quasitoric manifolds with the second Betti number 2

Details Topological classification of quasitoric manifolds with the second Betti number 2 Topological classification of quasitoric manifolds with the second Betti number 2

2010-05-29

arxiv.org/abs/1005.5431v2

Mathematics

Algebraic Topology

27 pages, 1 figure, to appear in Pacific Journal of Mathematics

Scientific paper

A quasitoric manifold is a $2n$-dimensional compact smooth manifold with a
locally standard action of an $n$-dimensional torus whose orbit space is a
simple polytope. In this article, we classify quasitoric manifolds with the
second Betti number $\beta_2=2$ topologically. Interestingly, they are
distinguished by their cohomology rings up to homeomorphism.

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