Transitive factorizations in the hyperoctahedral group

Gilberto Bini, Goulden, Gilberto Bini, Jackson

Risultato della ricerca: Article

Abstract

The classical Hurwitz enumeration problem has a presentation in terms of transitive factorizations in the symmetric group. This presentation suggests a generalization from type-A to other finite reflection groups and, in particular, to type-B. We study this generalizaztion both from a combinatorial and a geometric point of view, with the prospect of providing a mean of understanding more of the structure of the moduli spaces of maps with an S_2-symmetry. The type-A case has been well studied and connects Hurwitz numbers to the moduli space of curves. We conjecture an analogous setting for the type-B case that is studied here.
Lingua originaleEnglish
pagine (da-a)297-312
Numero di pagine16
RivistaCANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
Volume60
Stato di pubblicazionePublished - 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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