Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links

Details Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links

2004-02-18

arxiv.org/abs/math/0402290v1

Mathematics

Geometric Topology

17 pages, 9 figures

Scientific paper

It is known by A. Loi and R. Piergallini that a closed, oriented, smooth 3-manifold is Stein fillable if and only if it has a positive open book decomposition. In the present paper we will show that for every link L in a Stein fillable 3-manifold there exists an additional knot L' to L such that the union of the links L and L' is the binding of a positive open book decomposition of the Stein fillable 3-manifold. To prove the assertion, we will use the divide, which is a generalization of real morsification theory of complex plane curve singularities, and 2-handle attachings along Legendrian curves.

Affiliated with

Also associated with

No associations

Rating

Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links 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 Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stein fillable 3-manifolds admit positive open book decompositions along arbitrary links will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-181055