Classification of tight contact structures on surgeries on the figure-eight knot
Geometric Topology
2021-01-05 v2 Symplectic Geometry
Abstract
Two of the basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. We present the first such classification on an infinite family of (mostly) hyperbolic 3-manifolds: surgeries on the figure-eight knot. We also determine which of the tight contact structures are symplectically fillable and which are universally tight.
Keywords
Cite
@article{arxiv.1901.06066,
title = {Classification of tight contact structures on surgeries on the figure-eight knot},
author = {James Conway and Hyunki Min},
journal= {arXiv preprint arXiv:1901.06066},
year = {2021}
}
Comments
47 pages, many color figures; v2: minor corrections, updated title