Double-point enhanced GRID invariants and Lagrangian cobordisms
Ashton Lewis, Zachary Ojakli, Ina Petkova, and Benjamin Shapiro
TL;DR
This paper introduces a new invariant for Legendrian links using double-point enhanced grid homology, which helps obstruct certain Lagrangian cobordisms in symplectic geometry.
Contribution
It defines a novel invariant in double-point enhanced grid homology and demonstrates its application in obstructing decomposable Lagrangian cobordisms.
Findings
Invariant obstructs decomposable Lagrangian cobordisms
Introduces double-point enhanced grid homology for Legendrian links
Provides new tools for symplectic topology
Abstract
We define an invariant of Legendrian links in the double-point enhanced grid homology of a link, and prove that it obstructs decomposable Lagrangian cobordisms in the symplectization of the standard contact structure on .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics