Tangle contact homology
Symplectic Geometry
2024-10-16 v4 Geometric Topology
Abstract
Knot contact homology is an ambient isotopy invariant of knots and links in . The purpose of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove that gluing of tangles gives a gluing formula for knot contact homology. As a consequence of the gluing formula we obtain that the tangle contact homology detects triviality of tangles.
Keywords
Cite
@article{arxiv.2210.03036,
title = {Tangle contact homology},
author = {Johan Asplund},
journal= {arXiv preprint arXiv:2210.03036},
year = {2024}
}
Comments
45 pages, 26 figures. v4: Final version. Weak detection of trivial tangles upgraded to detection. Numerous expositional improvements. Comments welcome