Constraints on Basic Classes of Lefschetz Fibrations
Mak, Kin Hei Anthony, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Mark, Thomas, Department of Mathematics, University of Virginia
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