Volume 22, issue 1 (2022)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22
Issue 6, 2533–3057
Issue 5, 2007–2532
Issue 4, 1497–2006
Issue 3, 991–1495
Issue 2, 473–990
Issue 1, 1–472

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Cylindrical contact homology of $3$–dimensional Brieskorn manifolds

Sebastian Haney and Thomas E Mark

Algebraic & Geometric Topology 22 (2022) 153–187
Abstract

Cylindrical contact homology for contact 3–manifolds is a comparatively simple incarnation of symplectic field theory whose existence and invariance under suitable hypotheses was recently established by Hutchings and Nelson (and, in a slightly different form, by Bao and Honda). We study this invariant for a general Brieskorn 3–manifold Σ(a1,,an), and give a complete description of the cylindrical contact homology for this 3–manifold equipped with its natural contact structure for any aj satisfying 1a1 + + 1an < n 2.

Keywords
contact homology, Brieskorn spheres, contact 3–manifolds
Mathematical Subject Classification 2010
Primary: 57M27, 57R17, 57R58
References
Publication
Received: 1 November 2019
Revised: 22 December 2020
Accepted: 11 March 2021
Published: 26 April 2022
Authors
Sebastian Haney
Departmnet of Mathematics
Columbia University
New York, NY
United States
Thomas E Mark
Department of Mathematics
University of Virginia
Charlottesville, VA
United States