arXiv Analytics

Sign in

arXiv:1108.5302 [math.GT]AbstractReferencesReviewsResources

Mapping class groups of once-stabilized Heegaard splittings

Jesse Johnson

Published 2011-08-26, updated 2013-04-26Version 3

We show that if a Heegaard splitting is the result of stabilizing a high distance Heegaard splitting exactly once then its mapping class group is finitely generated.

Comments: 13 pages. 8 figures. The latest version contains new figures and improvements to the exposition
Categories: math.GT
Subjects: 57N10
Related articles: Most relevant | Search more
arXiv:math/0207290 [math.GT] (Published 2002-07-30, updated 2002-12-31)
Addendum and correction to: Homology cylinders: an enlargement of the mapping class group
arXiv:1104.0660 [math.GT] (Published 2011-04-04)
A Complex of Incompressible Surfaces for handlebodies and the Mapping Class Group
arXiv:math/0102184 [math.GT] (Published 2001-02-23)
Some homological invariants of mapping class group of a 3-dimensional handlebody