Item Details

Constraints on Basic Classes of Lefschetz Fibrations

Mak, Kin Hei Anthony
Format
Thesis/Dissertation; Online
Author
Mak, Kin Hei Anthony
Advisor
Mark, Thomas
Abstract
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.
Language
English
Date Received
20170721
Published
University of Virginia, Department of Mathematics, PHD (Doctor of Philosophy), 2017
Published Date
2017-07-28
Degree
PHD (Doctor of Philosophy)
Collection
Libra ETD Repository
Logo for Creative Commons Attribution LicenseCreative Commons Attribution License

Availability

Read Online