Geodesic
The minimal genus problem in ℂℙ2 # ℂℙ2
Ait Nouh, Mohamed1
1Department of Mathematical Sciences, University of Texas at El Paso, 500 West University Avenue, Bell Hall 144, El Paso, Texas 79968, USA
Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 671-686
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In this paper, we give two infinite families of counterexamples and finite positive examples to a conjecture on the minimal genus problem in ℂℙ2#ℂℙ2 proposed by Lawson [Exposition. Math. 15 (1997) 385–431].

DOI : 10.2140/agt.2014.14.671
Classification : 57Q25, 57Q45, 57N70
Keywords: minimal genus problem, $\mathbb{CP}^2$–genus, twisting operation

Ait Nouh, Mohamed  1

1 Department of Mathematical Sciences, University of Texas at El Paso, 500 West University Avenue, Bell Hall 144, El Paso, Texas 79968, USA 
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Ait Nouh, Mohamed. The minimal genus problem in ℂℙ2 # ℂℙ2. Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 671-686. doi: 10.2140/agt.2014.14.671

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