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Archivio digitale delle tesi discusse presso l’Università di Pisa

Tesi etd-10022019-192820


Tipo di tesi
Tesi di laurea magistrale
Autore
SANTORO, DIEGO
URN
etd-10022019-192820
Titolo
Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Prof. Martelli, Bruno
Parole chiave
  • arithmetic manifolds
  • four-manifolds
  • hyperbolic geometry
  • Seiberg-Witten invariants
Data inizio appello
25/10/2019
Consultabilità
Completa
Riassunto
The aim of the thesis is to show the existence of hyperbolic four-manifolds whose Seiberg-Witten invariants vanish, following the homonymous article by I. Agol and F. Lin.
This is done by using a vanishing result for four-manifolds admitting a separating L-space, and by exhibiting a L-space that embeds in separating way into a hyperbolic four-manifold. To do this, we use some recent results about the embeddings of arithmetic manifolds of simplest type due to S. Kolpakov, A. Reid and L. Slavich.
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