Systolic inequalities, Ginzburg dg algebras and Milnor fibers
Jongmyeong Kim
TL;DR
This paper establishes categorical systolic inequalities for derived categories of 2-Calabi--Yau Ginzburg dg algebras linked to ADE quivers and investigates their symplecto-geometric properties.
Contribution
It introduces new systolic inequalities in the context of derived categories of Ginzburg dg algebras and explores their symplecto-geometric implications.
Findings
Proves categorical systolic inequalities for ADE quiver Ginzburg dg algebras
Explores symplecto-geometric aspects of these inequalities
Connects algebraic and geometric properties in the context of Calabi--Yau categories
Abstract
We prove categorical systolic inequalities for the derived categories of 2-Calabi--Yau Ginzburg dg algebras associated to ADE quivers and explore their symplecto-geometric aspects.
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
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics