Degree one maps between small 3-manifolds and Heegaard genus

Details Degree one maps between small 3-manifolds and Heegaard genus Degree one maps between small 3-manifolds and Heegaard genus

2004-02-08

arxiv.org/abs/math/0402121v2

Algebr. Geom. Topol. 5 (2005) 1433-1450

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-56.abs.html

Scientific paper

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.

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