Megamaps: Construction and Examples - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2001

Megamaps: Construction and Examples

Abstract

We consider the usual model of hypermaps or, equivalently, bipartite maps, represented by pairs of permutations that act transitively on a set of edges E. The specific feature of our construction is the fact that the elements of E are themselves (or are labelled by) rather complicated combinatorial objects, namely, the 4-constellations, while the permutations defining the hypermap originate from an action of the Hurwitz braid group on these 4-constellations.The motivation for the whole construction is the combinatorial representation of the parameter space of the ramified coverings of the Riemann sphere having four ramification points.
Fichier principal
Vignette du fichier
dmAA0124.pdf (136.79 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01182964 , version 1 (06-08-2015)

Identifiers

Cite

Alexander Zvonkin. Megamaps: Construction and Examples. Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, 2001, Paris, France. pp.329-340, ⟨10.46298/dmtcs.2284⟩. ⟨hal-01182964⟩
114 View
645 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More