Fillings of unit cotangent bundles of nonorientable surfaces
Geometric Topology
2018-03-30 v1 Symplectic Geometry
Abstract
We prove that any minimal weak symplectic filling of the canonical contact structure on the unit cotangent bundle of a nonorientable closed surface other than the real projective plane is s-cobordant rel boundary to the disk cotangent bundle of the surface. If the nonorientable surface is the Klein bottle, then we show that the minimal weak symplectic filling is unique up to homeomorphism.
Cite
@article{arxiv.1609.01891,
title = {Fillings of unit cotangent bundles of nonorientable surfaces},
author = {Youlin Li and Burak Ozbagci},
journal= {arXiv preprint arXiv:1609.01891},
year = {2018}
}
Comments
13 pages, 1 figure