|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
The strong Haken
theorem via sphere complexes
Sebastian Hensel and Jennifer Schultens |
|
Algebraic & Geometric Topology 24 (2024) 2707–2719
|
 |
Abstract |
|
We give a short proof of Scharlemann’s strong Haken theorem for closed –manifolds (and manifolds with spherical boundary). As an application, we also show that given a decomposing sphere for a –manifold that splits off an summand, any Heegaard splitting of restricts to the standard Heegaard splitting on the summand. |
Keywords
Heegaard splitting, Haken sphere, strong Haken theorem
|
Mathematical Subject Classification
Primary: 57K30
|
References |
Publication
Received: 6 July 2022
Revised: 6 February 2023
Accepted: 20 June 2023
Published: 19 August 2024
|
Authors |
| Sebastian Hensel | |
| Department Mathematisches
Institut LMU München Munich Germany |
|
| Jennifer Schultens | |
| Department of Mathematics University of California Davis Davis, CA United States |
|
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
