Translator Disclaimer
2020 A note on the complexity of $h$–cobordisms
Hannah R Schwartz
Algebr. Geom. Topol. 20(7): 3313-3327 (2020). DOI: 10.2140/agt.2020.20.3313

Abstract

We show that the number of double points of smoothly immersed 2–spheres representing certain homology classes of an oriented, smooth, closed, simply connected 4–manifold X must increase with the complexity of corresponding h–cobordisms from X to X. As an application, we give results restricting the minimal number of double points of immersed spheres in manifolds homeomorphic to rational surfaces.

Citation

Download Citation

Hannah R Schwartz. "A note on the complexity of $h$–cobordisms." Algebr. Geom. Topol. 20 (7) 3313 - 3327, 2020. https://doi.org/10.2140/agt.2020.20.3313

Information

Received: 1 December 2018; Revised: 19 January 2020; Accepted: 2 April 2020; Published: 2020
First available in Project Euclid: 5 January 2021

MathSciNet: MR4194283
Digital Object Identifier: 10.2140/agt.2020.20.3313

Subjects:
Primary: 57Q20, 57Q99

Rights: Copyright © 2020 Mathematical Sciences Publishers

JOURNAL ARTICLE
15 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.20 • No. 7 • 2020
MSP
Back to Top