An upper bound on common stabilizations of Heegaard splittings

Details An upper bound on common stabilizations of Heegaard splittings An upper bound on common stabilizations of Heegaard splittings

2011-07-11

arxiv.org/abs/1107.2127v1

Mathematics

Geometric Topology

34 pages, 8 figures

Scientific paper

We show that for any two Heegaard splittings of genus $p$ and $q$ for the
same closed 3-manifold, there is a common stabilization of genus at most 3/2 p
+ 2q - 1. One may compare this to recent examples of Heegaard splittings whose
smallest common stabilizations have genus at least $p+q$ or $p + 1/2 q$
depending on the notion of equivalence.

Affiliated with

Also associated with

No associations

Rating

An upper bound on common stabilizations of 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 An upper bound on common stabilizations of Heegaard splittings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An upper bound on common stabilizations of Heegaard splittings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564290