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Archivio digitale delle tesi discusse presso l’Università di Pisa

Tesi etd-06172016-101920


Tipo di tesi
Tesi di laurea magistrale
Autore
BIANCHI, ANDREA
URN
etd-06172016-101920
Titolo
Embeddings of braid groups into mapping class groups
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Prof. Salvetti, Mario
relatore Prof.ssa Tillmann, Ulrike
controrelatore Dott. Callegaro, Filippo Gianluca
Parole chiave
  • braid
  • homology
  • mapping class group
  • twisted coefficients
Data inizio appello
15/07/2016
Consultabilità
Completa
Riassunto
There are several natural ways to embed (i.e. to include as a subgroup) the braid groups into the mapping class groups of surfaces. In this thesis I will study some of these embeddings, and prove that, in most cases, they induce stably the trivial map in homology with symplectic coefficients. This is a generalisation of the stable triviality result that holds for homology with constant coefficients.
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