Attaching handlebodies to 3-manifolds

Details Attaching handlebodies to 3-manifolds Attaching handlebodies to 3-manifolds

2001-09-09

arxiv.org/abs/math/0109059v2

Geom. Topol. 6(2002) 889-904

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper26.abs.html

Scientific paper

The main theorem of this paper is a generalisation of well known results about Dehn surgery to the case of attaching handlebodies to a simple 3-manifold. The existence of a finite set of `exceptional' curves on the boundary of the 3-manifold is established. Provided none of these curves is attached to the boundary of a disc in a handlebody, the resulting manifold is shown to be word hyperbolic and `hyperbolike'. We then give constructions of gluing maps satisfying this condition. These take the form of an arbitrary gluing map composed with powers of a suitable homeomorphism of the boundary of the handlebodies.

Affiliated with

Also associated with

No associations

Rating

Attaching handlebodies to 3-manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Attaching handlebodies to 3-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Attaching handlebodies to 3-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-528235