arXiv Analytics

Sign in

arXiv:math/0402121 [math.GT]AbstractReferencesReviewsResources

Degree one maps between small 3-manifolds and Heegaard genus

Michel Boileau, Shicheng Wang

Published 2004-02-08, updated 2005-10-22Version 2

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.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-56.abs.html
Journal: Algebr. Geom. Topol. 5 (2005) 1433-1450
Categories: math.GT
Subjects: 57M50, 57N10
Related articles: Most relevant | Search more
arXiv:1002.1958 [math.GT] (Published 2010-02-09, updated 2010-06-15)
An algorithm to determine the Heegaard genus of a 3-manifold
arXiv:math/0608517 [math.GT] (Published 2006-08-21, updated 2009-03-30)
The Heegaard genus of bundles over S^1
arXiv:1106.6302 [math.GT] (Published 2011-06-30, updated 2013-01-23)
Rank and genus of 3-manifolds