Moment-angle manifolds and connected sums of sphere products

Feifei Fan; Liman Chen; Jun Ma; Xiangjun Wang

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arXiv · 1406.7591

Moment-angle manifolds and connected sums of sphere products

Feifei Fan·Liman Chen·Jun Ma·Xiangjun Wang

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Abstract

This paper investigates the moment-angle manifolds whose cohomology ring is isomorphic to that of a connected sum of sphere products. We first give a example of moment-angle manifolds corresponding to a 4 dimentional simplicial polytope. It has the property that its cohomology ring is isomorphic to that of a connected sum of sphere products with one produt of thress spheres. Finally, we give some general properties of this kind of moment-angle manifolds.

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Feifei Fan, Liman Chen, Jun Ma, Xiangjun Wang. 2014-12-26. Moment-angle manifolds and connected sums of sphere products. https://arxiv.org/abs/1406.7591

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