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

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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
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article

Singular Legendrian unknot links and relative Ginzburg algebras

Johan Asplund
1 citations
Algebraic & Geometric Topology
Geometric and Algebraic Topology
4.09
article

Singular Legendrian unknot links and relative Ginzburg algebras

Johan Asplund
article en
1 citations

Abstract

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

Algebraic & Geometric TopologyVol. 25(6)
Stony Brook University (US)
Openalex Percentile: Top 6%
Geometric and Algebraic Topology
4.09
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Singular Legendrian unknot links and relative Ginzburg algebras — Johan Asplund · Algebraic & Geometric Topology (2025) | TGRS Research Map | TGRS