Contact Surgeries on the Legendrian Figure-Eight Knot
Geometric Topology
2016-10-14 v1 Symplectic Geometry
Abstract
We show that all positive contact surgeries on every Legendrian figure-eight knot in result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.
Keywords
Cite
@article{arxiv.1610.03943,
title = {Contact Surgeries on the Legendrian Figure-Eight Knot},
author = {James Conway},
journal= {arXiv preprint arXiv:1610.03943},
year = {2016}
}
Comments
12 pages, 9 figures