Tesi etd-02022025-190549 |
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Tipo di tesi
Tesi di laurea magistrale
Autore
SINISCALCHI, ALESSIO
URN
etd-02022025-190549
Titolo
On exotic symplectic surfaces in convex 4-manifolds
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Lisca, Paolo
Parole chiave
- exotic surfaces
- Kirby calculus
- symplectic geometry
Data inizio appello
21/02/2025
Consultabilità
Completa
Riassunto
A pair of smoothly embedded surfaces in a 4-manifold X is said to be exotic if they are topologically isotopic but not smoothly isotopic. Building on Hayden's work, we construct infinitely many pairs of exotic, symplectic ribbon disks in B^4. The construction is explicit, allowing the resulting disks to be drawn by hand. By capping these disks off in larger 4-manifolds, we obtain infinite pairs of exotic closed surfaces. Finally, we discuss extensions to the higher-genus case.
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