Rational Symplectic Field Theory for Legendrian knots
Symplectic Geometry
2015-05-13 v3 Geometric Topology
Abstract
We construct a combinatorial invariant of Legendrian knots in standard contact three-space. This invariant, which encodes rational relative Symplectic Field Theory and extends contact homology, counts holomorphic disks with an arbitrary number of positive punctures. The construction uses ideas from string topology.
Cite
@article{arxiv.0806.4598,
title = {Rational Symplectic Field Theory for Legendrian knots},
author = {Lenhard Ng},
journal= {arXiv preprint arXiv:0806.4598},
year = {2015}
}
Comments
58 pages, many figures; v3: minor corrections; final version, to appear in Inventiones Mathematicae