Exponential separation in 4-manifolds

Abstract

We use a new geometric construction, grope splitting, to give a sharp bound for separation of surfaces in 4-manifolds. We also describe applications of this technique in link-homotopy theory, and to the problem of locating pi_1-null surfaces in 4-manifolds. In our applications to link-homotopy, grope splitting serves as a geometric substitute for the Milnor group.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper13.abs.html

References in corpus (1)

• Subexponential groups in 4-manifold topology

Cited by in corpus (8)

• Subexponential groups in 4-manifold topology
• Whitney tower concordance of classical links
• Grope metrics on the knot concordance set
• Grope cobordism of classical knots
• "Slicing" the Hopf link
• Simple Whitney towers, half-gropes and the Arf invariant of a knot
• Whitney towers and gropes in 4--manifolds
• On disk embedding up to s-cobordism