Remarks on Legendrian Self-Linking
Symplectic Geometry
2018-08-22 v2 High Energy Physics - Theory
Geometric Topology
Abstract
The Thurston-Bennequin invariant provides one notion of self-linking for any homologically-trivial Legendrian curve in a contact three-manifold. Here we discuss related analytic notions of self-linking for Legendrian knots in Euclidean space. Our definition is based upon a reformulation of the elementary Gauss linking integral and is motivated by ideas from supersymmetric gauge theory. We recover the Thurston-Bennequin invariant as a special case.
Cite
@article{arxiv.1503.06120,
title = {Remarks on Legendrian Self-Linking},
author = {Chris Beasley and Brendan McLellan and Ruoran Zhang},
journal= {arXiv preprint arXiv:1503.06120},
year = {2018}
}
Comments
42 pages, many figures; v2: minor revisions, published version