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

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

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
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
On symplectic fillings of small Seifert $3$–manifolds

Hakho Choi and Jongil Park

Algebraic & Geometric Topology 23 (2023) 3497–3530
Abstract

We investigate the minimal symplectic fillings of small Seifert 3–manifolds with a canonical contact structure. As a result, we list all minimal symplectic fillings using curve configurations for small Seifert 3–manifolds satisfying certain conditions. Furthermore, we also demonstrate that every such a minimal symplectic filling is obtained by a sequence of rational blowdowns from the minimal resolution of the corresponding weighted homogeneous complex surface singularity.

Keywords
rational blowdown, small Seifert 3–manifold, symplectic filling
Mathematical Subject Classification
Primary: 53D05, 57R17
Secondary: 32S25
References
Publication
Received: 26 August 2020
Revised: 12 July 2022
Accepted: 26 July 2022
Published: 5 November 2023
Authors
Hakho Choi
School of Mathematics
Korea Institute for Advanced Study
Seoul
South Korea
Jongil Park
Department of Mathematical Sciences
Seoul National University
Seoul
South Korea

Open Access made possible by participating institutions via Subscribe to Open.