Surfaces in 4-manifolds and the surgery conjecture

Details Surfaces in 4-manifolds and the surgery conjecture Surfaces in 4-manifolds and the surgery conjecture

2005-05-18

arxiv.org/abs/math/0505395v1

Mathematics

Geometric Topology

To appear in proceedings of the Fields Institute/McMaster Conference on Geometry and Topology of Manifolds

Scientific paper

We give a survey of geometric approaches to the topological 4-dimensional surgery and 5-dimensional s-cobordism conjectures, with a focus on the study of surfaces in 4-manifolds. The geometric lemma underlying these conjectures is a statement about smooth immersions of disks and of certain 2-complexes, capped gropes, in a 4-manifold. We also mention a reformulation in terms of the A,B-slice problem, and the relation of this question to recent developments in the study of the classical knot concordance group.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710380