Tipo di tesi
Tesi di laurea magistrale
Titolo
An extension of a theorem by Cimasoni and Conway
Corso di studi
MATEMATICA
Parole chiave
- braids
- links
- multivariate Levine-Tristram signature
- tangles
- twisted homology
Data inizio appello
23/10/2020
Riassunto (Italiano)
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.
