Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Laminations of a graph on a pair of pants

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [14 references]  Display  Hide  Download
Contributor : Sanjay Ramassamy <>
Submitted on : Tuesday, June 25, 2019 - 5:46:38 PM
Last modification on : Tuesday, September 22, 2020 - 3:46:45 AM


Files produced by the author(s)


  • HAL Id : ensl-01759975, version 2



Sanjay Ramassamy. Laminations of a graph on a pair of pants. 2019. ⟨ensl-01759975v2⟩



Record views


Files downloads