Robust 4-manifolds and robust embeddings

Details Robust 4-manifolds and robust embeddings Robust 4-manifolds and robust embeddings

2008-08-06

arxiv.org/abs/0808.0883v2

Pacific J. Math. 248 (2010), 191-202

Mathematics

Geometric Topology

11 pages

Scientific paper

A link in the 3-sphere is homotopically trivial, according to Milnor, if its components bound disjoint maps of disks in the 4-ball. This paper concerns the question of what spaces give rise to the same class of homotopically trivial links when used in place of disks in an analogous definition. We show that there are 4-manifolds for which this property depends on their embedding in the 4-ball. This work is motivated by the A-B slice problem, a reformulation of the 4-dimensional topological surgery conjecture. As a corollary this provides a new, secondary, obstruction in the A-B slice problem for a certain class of decompositions of D^4.

Affiliated with

Also associated with

No associations

Rating

Robust 4-manifolds and robust embeddings 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 Robust 4-manifolds and robust embeddings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Robust 4-manifolds and robust embeddings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-28505