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Some Open Book and Contact Structures on Moment-Angle Manifolds
- Publication Year :
- 2015
-
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.<br />Comment: arXiv admin note: text overlap with arXiv:1303.2671
- Subjects :
- Mathematics - Algebraic Topology
Mathematics - Geometric Topology
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1510.07729
- Document Type :
- Working Paper