| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Cavalcanti, G.R. | |
| dc.contributor.advisor | Grimm, T.W. | |
| dc.contributor.author | Steneker, W.S. | |
| dc.date.accessioned | 2020-07-27T18:00:16Z | |
| dc.date.available | 2020-07-27T18:00:16Z | |
| dc.date.issued | 2020 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/36291 | |
| dc.description.abstract | This thesis is concerned with the study of Hamiltonian torus actions on symplectic manifolds. A Hamiltonian T-space consists of a symplectic manifold equipped with an action of a torus together with a momentum map. To study this object, we discuss symplectic reduction, the Atiyah--Guillemin--Sternberg convexity theorem and the Duistermaat--Heckman theorems. | |
| dc.description.sponsorship | Utrecht University | |
| dc.format.extent | 3191672 | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| dc.title | Hamiltonian Torus Actions on Symplectic Manifolds | |
| dc.type.content | Bachelor Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | symplectic geometry; symplectic manifolds; Lie groups; momentum maps; Hamiltonian actions; symplectic reduction; Atiyah; Guillemin; Sternberg; convexity theorem; Duistermaat; Heckman; localization theorem | |
| dc.subject.courseuu | Wiskunde | |
