Lens spaces, rational balls and the ribbon conjecture

Mathematics – Geometric Topology

Scientific paper

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45 pages, 8 figures; accepted for publication in Geometry and Topology

Scientific paper

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.

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