Comparing Heegaard and JSJ structures of orientable 3-manifolds

Details Comparing Heegaard and JSJ structures of orientable 3-manifolds Comparing Heegaard and JSJ structures of orientable 3-manifolds

1998-02-20

arxiv.org/abs/math/9802101v1

Mathematics

Geometric Topology

30 pages, 10 figures

Scientific paper

The Heegaard genus g of an irreducible closed orientable 3-manifold puts a limit on the number and complexity of the pieces that arise in the Jaco-Shalen-Johannson decomposition of the manifold by its canonical tori. For example, if p of the complementary components are not Seifert fibered, then p < g. This result generalizes work of Kobayashi. The Heegaard genus g also puts explicit bounds on the complexity of the Seifert pieces. For example, if the union of the base spaces of the Seifert pieces has Euler characteristic X and there are a total of f exceptional fibers in the Seifert pieces, then f - X is no greater than 3g - 3 - p.

Affiliated with

Also associated with

No associations

Rating

Comparing Heegaard and JSJ structures of orientable 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 Comparing Heegaard and JSJ structures of orientable 3-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comparing Heegaard and JSJ structures of orientable 3-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306523