Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

ON BALANCED PLANAR GRAPHS, FOLLOWING W. THURSTON

Abstract : Let f : S 2 → S 2 be an orientation-preserving branched covering map of degree d ≥ 2, and let Σ be an oriented Jordan curve passing through the critical values of f . Then Γ := f −1 (Σ) is an oriented graph on the sphere. In a group email discussion in Fall 2010, W. Thurston introduced balanced planar graphs and showed that they combinatorially characterize all such Γ, where f has 2d−2 distinct critical values. We give a detailed account of this discussion, along with some examples and an appendix about Hurwitz numbers.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01117927
Contributor : Lei Tan Connect in order to contact the contributor
Submitted on : Wednesday, February 18, 2015 - 11:01:05 AM
Last modification on : Monday, December 6, 2021 - 10:46:18 AM
Long-term archiving on: : Sunday, April 16, 2017 - 9:54:58 AM

File

New-balanced-maps.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01117927, version 1

Collections

Citation

Sarah Koch, Tan Lei. ON BALANCED PLANAR GRAPHS, FOLLOWING W. THURSTON. 2015. ⟨hal-01117927⟩

Share

Metrics

Record views

101

Files downloads

43