Algebraic & Geometric Topology

Degree one maps between small 3–manifolds and Heegaard genus

Michel Boileau and Shicheng Wang

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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

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

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

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

degree one map small 3–manifold Heegaard genus


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.

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