Year: 2025
Type: article
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 References 3753 Corollary 1.3 The canonical inclusion B ,! CE ..Q; F /I Z 0 .Q// admits a strong relative smooth n-Calabi-Yau structure.Proof The map G W Ᏻ n 1 .F / !Ᏻ n .Q; F / (see Lemma 2.3) admits a strong relative smooth n-Calabi-Yau structure by Lemma 2.4.Apply Theorem 1.1.
Source: Algebraic & Geometric Topology
Author: Johan Asplund
Institution: Stony Brook University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4414962835