Constraints on Basic Classes of Lefschetz Fibrations 1083 views

Minimal general type complex surfaces are known to have very simple Seiberg-Witten invariants, whereas the Ozsvath-Szabo invariants of symplectic 4-manifolds can have more varied behavior. The thesis provides a geometric-topological condition on a symplectic 4-manifold, namely containing some particular piece as Lefscehtz subfibration, which guarantees that the Ozsvath-Szabo invariant of the symplectic 4-manifold behaves the same way as the Seiberg-Witten invariants of minimal general type complex surfaces.

PHD (Doctor of Philosophy)

4-manifold invariants; General type complex surfaces; Symplectic 4-manifolds; Lefschetz fibrations

English

2017-07-28