Lens spaces, rational balls and the ribbon conjecture
Geometric Topology
2014-11-11 v1
Abstract
We apply Donaldson's theorem on the intersection forms of definite 4--manifolds to characterize the lens spaces which smoothly bound rational homology 4--dimensional balls. Our result implies, in particular, that every smoothly slice 2--bridge knot is ribbon, proving the ribbon conjecture for 2--bridge knots.
Keywords
Cite
@article{arxiv.math/0701610,
title = {Lens spaces, rational balls and the ribbon conjecture},
author = {Paolo Lisca},
journal= {arXiv preprint arXiv:math/0701610},
year = {2014}
}
Comments
45 pages, 8 figures; accepted for publication in Geometry and Topology