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Weinstein presentations
for high-dimensional antisurgery
Ipsita Datta, Oleg Lazarev, Chindu Mohanakumar and Angela Wu |
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Algebraic & Geometric Topology 25 (2025) 3707–3736
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Abstract |
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We give an algorithm for describing the Weinstein presentation of Weinstein subdomains obtained by carving out regular Lagrangians. Our work generalizes previous work in dimension and requires a novel Legendrian isotopy move (the “boat move”) that changes the local index of Reeb chords in a front projection. As applications, we describe presentations for certain exotic Weinstein subdomains and give explicit descriptions of -loose Legendrians. |
Keywords
Weinstein domains, Legendrian submanifolds, antisurgery
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Mathematical Subject Classification
Primary: 53D05, 57R17
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References |
Publication
Received: 15 October 2023
Revised: 4 May 2024
Accepted: 23 June 2024
Published: 1 October 2025
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Authors |
| Ipsita Datta | |
| Department of Mathematics ETH Zürich Zürich Switzerland |
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| Oleg Lazarev | |
| Department of Mathematics University of Massachusetts Boston Boston, MA United States |
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| Chindu Mohanakumar | |
| Mathematics Department Fordham University New York, NY United States |
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| Angela Wu | |
| Department of Mathematics Bucknell University Lewisburg, PA United States |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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