Are large distance Heegaard splittings generic? - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal für die reine und angewandte Mathematik Année : 2012

Are large distance Heegaard splittings generic?

Résumé

In a previous paper we introduced a notion of "genericity" for countable sets of curves in the curve complex of a surface S, based on the Lebesgue measure on the space of projective measured laminations in S. With this definition we prove that for each fixed g > 1 the set of irreducible genus g Heegaard splittings of high distance is generic, in the set of all irreducible Heegaard splittings. Our definition of "genericity" is different and more intrinsic then the one given via random walks.

Dates et versions

hal-01318405 , version 1 (19-05-2016)

Identifiants

Citer

Martin Lustig, Yoav Moriah. Are large distance Heegaard splittings generic?. Journal für die reine und angewandte Mathematik, 2012, 2012 (670), pp.93--119. ⟨10.1515/CRELLE.2011.154⟩. ⟨hal-01318405⟩
30 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More