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2005 Degree one maps between small 3–manifolds and Heegaard genus
Michel Boileau, Shicheng Wang
Algebr. Geom. Topol. 5(4): 1433-1450 (2005). DOI: 10.2140/agt.2005.5.1433

Abstract

We prove a rigidity theorem for degree one maps between small 3–manifolds using Heegaard genus, and provide some applications and connections to Heegaard genus and Dehn surgery problems.

Citation

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Michel Boileau. Shicheng Wang. "Degree one maps between small 3–manifolds and Heegaard genus." Algebr. Geom. Topol. 5 (4) 1433 - 1450, 2005. https://doi.org/10.2140/agt.2005.5.1433

Information

Received: 20 July 2005; Accepted: 2 September 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1084.57016
MathSciNet: MR2171816
Digital Object Identifier: 10.2140/agt.2005.5.1433

Subjects:
Primary: 57M50 , 57N10

Keywords: degree one map , Heegaard genus , small 3–manifold

Rights: Copyright © 2005 Mathematical Sciences Publishers

Vol.5 • No. 4 • 2005
MSP
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