Topological classification of quasitoric manifolds with the second Betti number 2

Abstract

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.

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

References in corpus (2)

• Classification of Q-trivial Bott manifolds
• Rigidity problems in toric topology, a survey

Cited by in corpus (1)

• Rigidity problems in toric topology, a survey