Tipo di tesi
Tesi di laurea magistrale
Titolo
On exotic symplectic surfaces in convex 4-manifolds
Corso di studi
MATEMATICA
Parole chiave
- exotic surfaces
- Kirby calculus
- symplectic geometry
Data inizio appello
21/02/2025
Riassunto (Italiano)
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.
