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

Volume 24
Issue 6, 2971–3570
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
Horizontal decompositions, I

Paolo Lisca and Andrea Parma

Algebraic & Geometric Topology 24 (2024) 3503–3525
Abstract

We show that every smooth closed orientable 4–manifold X admits a special kind of handlebody decomposition that we call horizontal. We classify the closed 4–manifolds with the simplest horizontal decompositions and we describe all such decompositions of 2, showing that they give rise to infinitely many of the known embeddings of rational homology balls in the complex projective plane.

Keywords
rational homology balls, smooth embeddings, handlebody decompositions
Mathematical Subject Classification
Primary: 57K40
Secondary: 57R40
References
Publication
Received: 18 May 2022
Revised: 21 October 2022
Accepted: 30 October 2022
Published: 7 October 2024
Authors
Paolo Lisca
Department of Mathematics
University of Pisa
Pisa
Italy
Andrea Parma
Department of Mathematics
University of Pisa
Pisa
Italy

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