Stein and Weinstein structures on disk cotangent bundles of surfaces
Geometric Topology
2020-05-28 v2 Symplectic Geometry
Abstract
In 1998, Gompf described a Stein domain structure on the disk cotangent bundle of any closed surface S, by a Legendrian handlebody diagram. We prove that Gompf's Stein domain is symplectomorphic to the disk cotangent bundle equipped with its canonical symplectic structure and the boundary of this domain is contactomorphic to the unit cotangent bundle of S equipped with its canonical contact structure. As a corollary, we obtain a surgery diagram for the canonical contact structure on the unit cotangent bundle of S.
Keywords
Cite
@article{arxiv.1809.05279,
title = {Stein and Weinstein structures on disk cotangent bundles of surfaces},
author = {Burak Ozbagci},
journal= {arXiv preprint arXiv:1809.05279},
year = {2020}
}
Comments
9 pages, 6 figures. Major revision