The minimal genus problem in ℂℙ2 # ℂℙ2

Ait Nouh, Mohamed

doi:10.2140/agt.2014.14.671

Download this article
	For screen
	For printing

Recent 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

The minimal genus problem in $\mathbb{C\mskip-1mu P}^2 \mathbin{\#} \mathbb{C\mskip-1mu P}^2$

Mohamed Ait Nouh

Algebraic & Geometric Topology 14 (2014) 671–686

DOI: 10.2140/agt.2014.14.671

Abstract

In this paper, we give two infinite families of counterexamples and finite positive examples to a conjecture on the minimal genus problem in ${ℂ ℙ}^{2} # {ℂ ℙ}^{2}$ proposed by Lawson [Exposition. Math. 15 (1997) 385–431].

Keywords

minimal genus problem, $\mathbb{CP}^2$–genus, twisting operation

Mathematical Subject Classification 2010

Primary: 57Q25

Secondary: 57Q45, 57N70

References

Publication

Received: 24 September 2008

Revised: 8 August 2013

Accepted: 8 August 2013

Published: 30 January 2014

Authors

Mohamed Ait Nouh
Department of Mathematical Sciences University of Texas at El Paso 500 West University Avenue Bell Hall 144 El Paso, Texas 79968 USA

Volume 14, issue 2 (2014)