Roughly speaking, an m-dimensional branchfold is a space covered by open sets U admitting two regular branched coverings V ← P → U, with P a polyhedron and V an open subset of Rm, rather than only one V → U as in the orbifold case. After recalling the main definitions, constructions and results in the theory of branchfolds, we will explain why and how such spaces can be useful to shed some light on the Cheeger-Simons problem of whether the volume of a compact spherical conifold with rational angles is a rational multiple of the volume of the m-sphere.

Branchfolds, varietà coniche razionali e il problema di Cheeger-Simons

BENVENUTI, Silvia
2011-01-01

Abstract

Roughly speaking, an m-dimensional branchfold is a space covered by open sets U admitting two regular branched coverings V ← P → U, with P a polyhedron and V an open subset of Rm, rather than only one V → U as in the orbifold case. After recalling the main definitions, constructions and results in the theory of branchfolds, we will explain why and how such spaces can be useful to shed some light on the Cheeger-Simons problem of whether the volume of a compact spherical conifold with rational angles is a rational multiple of the volume of the m-sphere.
2011
0000000000
273
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11581/337596
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact