Surface bundles versus Heegaard splittings

Details Surface bundles versus Heegaard splittings Surface bundles versus Heegaard splittings

2002-12-06

arxiv.org/abs/math/0212104v1

Mathematics

Geometric Topology

22 pages, 5 figures

Scientific paper

This paper studies Heegaard splittings of surface bundles via the curve complex of the fibre. The translation distance of the monodromy is the smallest distance it moves any vertex of the curve complex. We prove that the translation distance is bounded above in terms of the genus of any strongly irreducible Heegaard splitting. As a consequence, if a splitting surface has small genus compared to the translation distance of the monodromy, the splitting is standard.

Affiliated with

Also associated with

No associations

Rating

Surface bundles versus Heegaard splittings 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 Surface bundles versus Heegaard splittings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Surface bundles versus Heegaard splittings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558687