Moment-angle manifolds and connected sums of sphere products

2014/06/30 by Fan, Feifei, Chen, Liman, Ma, Jun +1
#13F55 #14M25 #55U10 #57R18 #57R19 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1406.7591

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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