Volume 11, issue 1 (2007)

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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Lens spaces, rational balls and the ribbon conjecture

Paolo Lisca

Geometry & Topology 11 (2007) 429–472

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