Disk potential functions for quadrics
Yoosik Kim
TL;DR
This paper calculates the disk potential of a specific monotone torus fiber in a quadric hypersurface using advanced techniques like toric degenerations and mirror symmetry, contributing to symplectic geometry and mirror symmetry understanding.
Contribution
It introduces a method to compute disk potentials for Gelfand--Zeitlin fibers in quadrics leveraging toric degenerations and Lie theoretical mirror symmetry.
Findings
Explicit disk potential for Gelfand--Zeitlin fibers in quadrics
Application of toric degenerations in symplectic geometry
Insights into the structure of the monotone Fukaya category
Abstract
We compute the disk potential of Gelfand--Zeitlin monotone torus fiber in a quadric hypersurface by exploiting toric degenerations, Lie theoretical mirror symmetry, and the structural result of the monotone Fukaya category.
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
TopicsNonlinear Waves and Solitons · Advanced Combinatorial Mathematics · Polynomial and algebraic computation