English

Lagrangian slice disks with symplectomorphic exteriors

Symplectic Geometry 2026-01-07 v1 Geometric Topology

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.

Keywords

Cite

@article{arxiv.2601.02524,
  title  = {Lagrangian slice disks with symplectomorphic exteriors},
  author = {Joseph Breen},
  journal= {arXiv preprint arXiv:2601.02524},
  year   = {2026}
}

Comments

14 pages, 12 figures. Comments welcome