Singular Legendrian unknot links and relative Ginzburg algebras
We associate to a quiver and a subquiver .Q; F / a stopped Weinstein manifold X whose Legendrian attaching link is a singular Legendrian unknot link .We prove that the relative Ginzburg algebra of .Q; F / 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 X both admit a strong relative smooth Calabi-Yau structure.53D35, 53D42; 16E45 1. Introduction 3737 2. Relative Ginzburg algebras 3741 3. Stopped Weinstein manifold associated to a quiver and a frozen subquiver 3742 4. Proof of the main theorem 3747
Authors
- Johan Asplund (ORCID: https://orcid.org/0000-0002-5697-5996)
Institutions
- Stony Brook University (US)
Publication Details
- Journal
- Algebraic & Geometric Topology
- Published
- 2025-10-01
- DOI
- https://doi.org/10.2140/agt.2025.25.3737
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 4.09