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arXiv · 1309.4182

Strong cohomological rigidity of quasitoric manifolds over the 3-cube

Sho Hasui
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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 $I^3$.

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Sho Hasui. 2013-09-17. Strong cohomological rigidity of quasitoric manifolds over the 3-cube. https://arxiv.org/abs/1309.4182

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