Lagrangian slice disks with symplectomorphic exteriors

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Authors: Joseph Breen
Cited by: 0

Abstract

By modifying a construction of Abe and Tange, we exhibit arbitrarily large families of Lagrangian slice disks with Weinstein deformation equivalent exteriors. This answers a Lagrangian version of a question of Hitt and Sumners. We raise other open questions related to Lagrangian slice disks and their exteriors.

Fields of Study & Subjects

Geometric and Algebraic Topology Geometric Analysis and Curvature Flows Holomorphic and Operator Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 January 2026
Document type
Preprint