Geodesic
The lens space realization problem
Joshua Evan Greene1
1 Boston College, Chestnut Hill, MA
Annals of mathematics, Tome 177 (2013) no. 2, pp. 449-511.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We determine the lens spaces that arise by integer Dehn surgery along a knot in the three-sphere. Specifically, if surgery along a knot produces a lens space, then there exists an equivalent surgery along a Berge knot with the same knot Floer homology groups. This leads to sharp information about the genus of such a knot. The arguments rely on tools from Floer homology and lattice theory. They are primarily combinatorial in nature.
DOI : 10.4007/annals.2013.177.2.3

Joshua Evan Greene 1

1 Boston College, Chestnut Hill, MA 
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Joshua Evan Greene. The lens space realization problem. Annals of mathematics, Tome 177 (2013) no. 2, pp. 449-511. doi : 10.4007/annals.2013.177.2.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.2.3/

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