Some Open Book and Contact Structures on Moment-Angle Manifolds
Algebraic Topology
2019-07-30 v4 Geometric Topology
Abstract
We construct open book structures on all moment-angle manifolds and describe the topology of their leaves and bindings under certain restrictions. II. We also show, using a recent deep result about contact forms due to Borman, Eliashberg and Murphy [6], that every odd-dimensional moment-angle manifold admits a contact structure. This contrasts with the fact that, except for a few, well-determined cases, even-dimensional ones do not admit symplectic structures. We obtain the same results for large families of more general intersections of quadrics.
Keywords
Cite
@article{arxiv.1510.07729,
title = {Some Open Book and Contact Structures on Moment-Angle Manifolds},
author = {Yadira Barreto and Santiago López de Medrano and Alberto Verjovsky},
journal= {arXiv preprint arXiv:1510.07729},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1303.2671