Lens spaces, rational balls and the ribbon conjecture

Lisca, Paolo

doi:10.2140/gt.2007.11.429

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Lens spaces, rational balls and the ribbon conjecture

Paolo Lisca

Geometry & Topology 11 (2007) 429–472

DOI: 10.2140/gt.2007.11.429

arXiv: math.GT/0701610

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

2–bridge knots, ribbon conjecture, lens spaces, rational homology balls

Mathematical Subject Classification 2000

Primary: 57M25

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Publication

Published: 16 March 2007

Proposed: Cameron Gordon

Seconded: Peter Ozsvath and Tom Mrowka

Authors

Paolo Lisca
Dipartimento di Matematica “L. Tonelli” Largo Bruno Pontecorvo, 5 Università di Pisa I-56127 Pisa ITALY

Volume 11, issue 1 (2007)