Singular Legendrian unknot links and relative Ginzburg algebras
Symplectic Geometry
2025-10-15 v2 Geometric Topology
Representation Theory
Abstract
We associate to a quiver and a subquiver a stopped Weinstein manifold whose Legendrian attaching link is a singular Legendrian unknot link . We prove that the relative Ginzburg algebra of is quasi-isomorphic to the Chekanov--Eliashberg dg-algebra of . It follows that the Chekanov--Eliashberg dg-algebra of relative to its boundary dg-subalgebra, and the Orlov functor associated to the partially wrapped Fukaya category of both admit a strong relative smooth Calabi--Yau structure.
Keywords
Cite
@article{arxiv.2311.03330,
title = {Singular Legendrian unknot links and relative Ginzburg algebras},
author = {Johan Asplund},
journal= {arXiv preprint arXiv:2311.03330},
year = {2025}
}
Comments
15 pages, 9 figures. v2: Final version. Comments welcome