Symplectic Fillings, Contact Surgeries, and Lagrangian Disks-Reference-Cited by-同舟云学术

Symplectic Fillings, Contact Surgeries, and Lagrangian Disks

Published:2019-02-21 Issue:8 Volume:2021 Page:6020-6050
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Conway James¹,Etnyre John B²,Tosun Bülent³

Affiliation:

1. Department of Mathematics, University of California, Berkeley, Berkeley, CA, USA

2. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, USA

3. Department of Mathematics, University of Alabama, Tuscaloosa, AL, USA

Abstract

Abstract This paper completely answers the question of when contact $(r)$–surgery on a Legendrian knot in the standard contact structure on $S^3$ yields a symplectically fillable contact manifold for $r\in (0,1]$. We also give obstructions for other positive $r$ and investigate Lagrangian fillings of Legendrian knots.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/8/6020/37304158/rny291.pdf

Reference50 articles.

1. Admissible transverse surgery does not preserve tightness;Baldwin;Math. Ann.,2013

2. Topologically distinct Lagrangian and symplectic fillings;Cao;Math. Res. Lett.,2014

3. Knotinfo: Table of knot invariants;Cha

4. Lagrangian concordance of Legendrian knots;Chantraine;Algebra Geom. Topol.,2010

5. From Stein to Weinstein and Back. American Mathematical Society Colloquium Publications;Cieliebak,2012

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