Laminations of a graph on a pair of pants - ENS de Lyon - École normale supérieure de Lyon Accéder directement au contenu
Article Dans Une Revue Bulletin of the London Mathematical Society Année : 2020

Laminations of a graph on a pair of pants

Résumé

A lamination of a graph embedded on a surface is a collection of pair-wise disjoint non-contractible simple closed curves drawn on the graph. In the case when the surface is a sphere with three punctures (a.k.a. a pair of pants), we first identify the lamination space of a graph embedded on that surface as a lattice polytope, then we characterize the polytopes that arise as the lamination space of some graph on a pair of pants. This characterizes the image of a purely topological version of the spectral map for the vector bundle Laplacian for a flat connection on a pair of pants. The proof uses a graph exploration technique akin to the peeling of planar maps.
Fichier principal
Vignette du fichier
PantsLaminations.pdf (672.89 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

ensl-01759975 , version 1 (05-04-2018)
ensl-01759975 , version 2 (25-06-2019)
ensl-01759975 , version 3 (27-10-2022)

Identifiants

Citer

Sanjay Ramassamy. Laminations of a graph on a pair of pants. Bulletin of the London Mathematical Society, 2020, 52 (6), pp.1038-1052. ⟨10.1112/blms.12380⟩. ⟨ensl-01759975v2⟩
166 Consultations
118 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More