Year: 2025
Type: preprint
Abstract: Given a Legendrian knot $Λ\subset \mathbb{R}^3$ and a vertical line dividing the front projection of $Λ$ 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.
Source: arXiv (Cornell University)
Author: Wlodek, Maciej
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416068603
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