Disk potential functions for quadrics

2021/07/13 by Yoosik Kim, Kim, Yoosik · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2107.05839

openalex publication_date 2021/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Existence of pseudo-holomorphic disks via non-archimedean disk potentials
• Holomorphic disks and GIT quotients

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