Bordered Legendrian Rational Symplectic Field Theory
Symplectic Geometry
2025-09-10 v1
Abstract
Given a Legendrian knot and a vertical line dividing the front projection of into two halves, we construct a differential graded algebra associated to each half-knot. We then show that one may obtain the commutative algebra from Legendrian Rational Symplectic Field Theory as a pushout of the two bordered algebras. This construction extends the bordered Chekanov-Eliashberg differential graded algebra by incorporating disks with multiple positive punctures into the differential.
Cite
@article{arxiv.2509.07921,
title = {Bordered Legendrian Rational Symplectic Field Theory},
author = {Maciej Wlodek},
journal= {arXiv preprint arXiv:2509.07921},
year = {2025}
}