dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Cavalcanti, G.R. | |
dc.contributor.author | Tel, A.W. | |
dc.date.accessioned | 2015-04-20T17:00:23Z | |
dc.date.available | 2015-04-20T17:00:23Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/19668 | |
dc.description.abstract | In this thesis, we study a relation between symplectic structures and Lefschetz ?brations to shed
some light on 4-manifold theory. We introduce symplectic manifolds and state some results about
them. We then introduce Lefschetz fi?brations, which are a generalization of ?fiber bundles, and
discuss them briefly to obtain an intuitive understanding. The main theorem of this thesis is a
result obtained by Gompf. It provides a way to construct a symplectic structure on a general
Lefschetz ?fibration with homologeously nonzero fi?ber. We also discuss a generalization of this,
achieved by Gompf, that generalizes this result to arbitrary even dimensions. | |
dc.description.sponsorship | Utrecht University | |
dc.format.extent | 1470876 | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.title | Lefschetz fibrations and symplectic structures | |
dc.type.content | Master Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.keywords | Lefschetz fibration, Lefschetz pencil, symplectic geometry, fiber bundle, complex geometry, compatibility | |
dc.subject.courseuu | Mathematical Sciences | |