Algebraic & Geometric Topology

Degree one maps between small 3–manifolds and Heegaard genus

Michel Boileau and Shicheng Wang

Full-text: Open access

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.

Article information

Source
Algebr. Geom. Topol., Volume 5, Number 4 (2005), 1433-1450.

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

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513796483

Digital Object Identifier
doi:10.2140/agt.2005.5.1433

Mathematical Reviews number (MathSciNet)
MR2171816

Zentralblatt MATH identifier
1084.57016

Subjects
Primary: 57M50: Geometric structures on low-dimensional manifolds 57N10: Topology of general 3-manifolds [See also 57Mxx]

Keywords
degree one map small 3–manifold Heegaard genus

Citation

Boileau, Michel; Wang, Shicheng. Degree one maps between small 3–manifolds and Heegaard genus. Algebr. Geom. Topol. 5 (2005), no. 4, 1433--1450. doi:10.2140/agt.2005.5.1433. https://projecteuclid.org/euclid.agt/1513796483


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References

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