Strong cohomological rigidity of quasitoric manifolds over the 3-cube
arXiv:1309.4182
Abstract
A quasitoric manifold is a smooth manifold with a locally standard torus action for which the orbit space is identified with a simple polytope. For a class of topological spaces, the class is called strongly cohomologically rigid if any isomorphism of cohomology rings can be realized as a homeomorphism. This paper shows the strong cohomological rigidity of the class of quasitoric manifolds over .
This paper has been withdrawn by the author since the new article "On the cohomology equivalences between bundle-type quasitoric manifolds over a cube" [arXiv:1409.7980] includes the result of this article