Moment-angle manifolds and Panov's problem

2014/05/19 by Stephen Theriault, Theriault, Stephen
Mathematics · #32V40 #55P15 #57R19 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:32V40 #msc:55P15 #msc:57R19

paper · pdf · doi:10.48550/arxiv.1405.4886

In form accepted by International Mathematics Research Notices 2015

arxiv created 2015/01/22 · arxiv updated 2015/01/23

Abstract

We answer a problem posed by Panov, which is to describe the relationship between the wedge summands in a homotopy decomposition of the moment-angle complex corresponding to a disjoint union of k points and the connected sum factors in a diffeomorphism decomposition of the moment-angle manifold corresponding to the simple polytope obtained by making k vertex cuts on a standard d-simplex. This establishes a bridge between two very different approaches to moment-angle manifolds.

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