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Archivio digitale delle tesi discusse presso l’Università di Pisa

Tesi etd-09272020-112455


Tipo di tesi
Tesi di laurea magistrale
Autore
MERZ, ALICE
URN
etd-09272020-112455
Titolo
An extension of a theorem by Cimasoni and Conway
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Prof. Lisca, Paolo
Parole chiave
  • braids
  • links
  • multivariate Levine-Tristram signature
  • tangles
  • twisted homology
Data inizio appello
23/10/2020
Consultabilità
Completa
Riassunto
The focus of this thesis is the study of certain link isotopy invariants, and we mostly concentrate on the multivariate Levine-Tristram signatures. Specifically, we study a generalization of the Gambaudo-Ghys formula, which deals with ordinary Levine-Tristram signatures, to the multivariate case. This result, proven by D. Cimasoni and A. Conway, was obtained with a geometrical approach, interpreting the multivariate signature as the signature of some branched covers of the four-ball. With a different interpretation, which makes use of twisted homology, we manage to extend their result.
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