| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Ziltener, F. | |
| dc.contributor.author | Smitshoek, R. | |
| dc.date.accessioned | 2017-07-28T17:01:39Z | |
| dc.date.available | 2017-07-28T17:01:39Z | |
| dc.date.issued | 2017 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/26428 | |
| dc.description.abstract | In this thesis we prove two theorems about symplectic fiber bundles (E,π,M,(F,σ)). The
first theorem states that there exists a symplectic form on total space E that restricts
to induced symplectic forms on the fibers π^−1 (p), if there exists a symplectic form on
the base M and there exists a de Rham cohomology class on E that restricts to the
de Rham cohomology class of induced symplectic forms on fibers π^−1 (p). The second
theorem states that there exists a de Rham cohomology class on E that restricts to the de
Rham cohomology class of induced symplectic forms on fibers π^−1 (p), if the first Chern
class c_1 (TF) of the tangent bundle of the fiber F is a nonzero multiple of the de Rham
cohomology class of the symplectic form σ on F. | |
| dc.description.sponsorship | Utrecht University | |
| dc.format.extent | 565185 | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en_US | |
| dc.title | Symplectic forms on fiber bundles
and the Chern classes | |
| dc.type.content | Bachelor Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | Symplectic Geometry, Symplectic Manifold, Symplectic Form, Chern Class, Euler Class, de Rham Cohomology, Fiber Bundle, Thurston | |
| dc.subject.courseuu | Wiskunde | |
