Weinstein presentations for high-dimensional antisurgery

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 3 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 P -loose Legendrians.

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Publication Details

Journal
Algebraic & Geometric Topology
Published
2025-10-01
DOI
https://doi.org/10.2140/agt.2025.25.3707
Primary Topic
Connective tissue disorders research
Type
article
Field-Weighted Citation Impact
0.00

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article

Weinstein presentations for high-dimensional antisurgery

Angela Y. Wu, Oleg Lazarev, Ipsita Datta, Chindu Mohanakumar
Algebraic & Geometric Topology
Connective tissue disorders research
article

Weinstein presentations for high-dimensional antisurgery

Angela Y. Wu, Oleg Lazarev, Ipsita Datta, Chindu Mohanakumar
article en

Abstract

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 3 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 P -loose Legendrians.

Algebraic & Geometric TopologyVol. 25(6)
Bucknell University (US), Fordham University (US), University of Massachusetts Boston (US), ETH Zurich (CH)
University of California, Davis
Openalex Percentile: Top 70%
Connective tissue disorders research
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