Lagrangian slice disks with symplectomorphic exteriors

Fuente: arXiv
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1. Verfasser: Breen, Joseph
Format: Preprint
Veröffentlicht: 2026
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_version_ 1866914234838810624
author Breen, Joseph
author_facet Breen, Joseph
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02524
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Lagrangian slice disks with symplectomorphic exteriors
Breen, Joseph
Symplectic Geometry
Geometric Topology
57K33 (Primary) 57K10, 57R65 (Secondary)
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.
title Lagrangian slice disks with symplectomorphic exteriors
topic Symplectic Geometry
Geometric Topology
57K33 (Primary) 57K10, 57R65 (Secondary)
url https://arxiv.org/abs/2601.02524