Geodesic
Lens spaces, rational balls and the ribbon conjecture
Lisca, Paolo1
1 Dipartimento di Matematica “L. Tonelli”, Largo Bruno Pontecorvo, 5, Università di Pisa, I-56127 Pisa, ITALY
Geometry & topology, Tome 11 (2007) no. 1, pp. 429-472.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2007.11.429
Keywords: 2–bridge knots, ribbon conjecture, lens spaces, rational homology balls

Lisca, Paolo 1

1 Dipartimento di Matematica “L. Tonelli”, Largo Bruno Pontecorvo, 5, Università di Pisa, I-56127 Pisa, ITALY 
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Lisca, Paolo. Lens spaces, rational balls and the ribbon conjecture. Geometry & topology, Tome 11 (2007) no. 1, pp. 429-472. doi : 10.2140/gt.2007.11.429. http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.429/

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