dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Ziltener, F. | |
dc.contributor.author | Gootjes-Dreesbach, A.W. | |
dc.date.accessioned | 2021-03-31T18:00:14Z | |
dc.date.available | 2021-03-31T18:00:14Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/39181 | |
dc.description.abstract | A translated point of a contactomorphism $\phi$ on a contact manifold with contact form $\alpha$ is a point $p$ where $\alpha$ is preserved under $\phi$ and whose image under $\phi$ lies in the same Reeb trajectory. They were introduced as a contact analogon for fixed points of Hamiltonian diffeomorphisms by Sheila Sandon and can be understood as a special case of leafwise fixed points. She established a contact version of the non-degenerate Arnol'd conjecture on spheres using a generating function approach. It turns out that Sandon's proof only works under the assumption that there exists a generating function whose sublevel set at zero has nontrivial homology. This thesis proves the result under this additional assumption and fills gaps in other parts of Sandon's argument. | |
dc.description.sponsorship | Utrecht University | |
dc.format.extent | 961410 | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.title | Generating Functions in Symplectic and Contact Geometry | |
dc.type.content | Master Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.keywords | generating functions, symplectic geometry, contact geometry, translated points, arnold conjecture | |
dc.subject.courseuu | Mathematical Sciences | |