Given a complex reflection group W, we will show how the generators of the centers of the parabolic subgroups of the pure braid group P(W) can be represented by loops around irreducible divisors of the corresponding minimal De Concini-Procesi model XW. We will also show that a more subtle construction gives representations of the generators of the centers of the parabolic subgroups of the braid group B(W) as loops in the (not smooth) quotient variety XW/W.

Divisorial inertia and central elements in braid groups

CALLEGARO, FILIPPO GIANLUCA;GAIFFI, GIOVANNI;
2016

Abstract

Given a complex reflection group W, we will show how the generators of the centers of the parabolic subgroups of the pure braid group P(W) can be represented by loops around irreducible divisors of the corresponding minimal De Concini-Procesi model XW. We will also show that a more subtle construction gives representations of the generators of the centers of the parabolic subgroups of the braid group B(W) as loops in the (not smooth) quotient variety XW/W.
Callegaro, FILIPPO GIANLUCA; Gaiffi, Giovanni; Lochak, P.
File in questo prodotto:
File Dimensione Formato  
2016joa.pdf

accesso aperto

Descrizione: articolo
Tipologia: Documento in Post-print
Licenza: Creative commons
Dimensione 335.1 kB
Formato Adobe PDF
335.1 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/813693
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
social impact