ETD system

Electronic theses and dissertations repository

 

Tesi etd-06172016-101920


Thesis type
Tesi di laurea magistrale
Author
BIANCHI, ANDREA
URN
etd-06172016-101920
Title
Embeddings of braid groups into mapping class groups
Struttura
MATEMATICA
Corso di studi
MATEMATICA
Commissione
relatore Prof. Salvetti, Mario
relatore Prof.ssa Tillmann, Ulrike
controrelatore Dott. Callegaro, Filippo
Parole chiave
  • braid
  • mapping class group
  • homology
  • twisted coefficients
Data inizio appello
15/07/2016;
Consultabilità
completa
Riassunto analitico
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.
File