Moment-angle manifolds and Panov's problem
Algebraic Topology
2015-01-23 v2
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.
Keywords
Cite
@article{arxiv.1405.4886,
title = {Moment-angle manifolds and Panov's problem},
author = {Stephen Theriault},
journal= {arXiv preprint arXiv:1405.4886},
year = {2015}
}
Comments
In form accepted by International Mathematics Research Notices 2015