Degree one maps between small 3-manifolds and Heegaard genus

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.

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

Cited by in corpus (2)

• On character varieties, sets of discrete characters, and non-zero degree maps
• Detecting surface bundles in finite covers of hyperbolic closed 3-manifolds