dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Pino Gomez, A. del | |
dc.contributor.author | Jong, Lay de | |
dc.date.accessioned | 2024-08-07T23:07:33Z | |
dc.date.available | 2024-08-07T23:07:33Z | |
dc.date.issued | 2024 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/47157 | |
dc.description.abstract | Stable Hamiltonian structures are defined on odd-dimensional manifolds
M^{2m+1} by a pair of a 1-form and a closed 2-form (λ, ω) satisfying;
λ ∧ ωm > 0, and ker(ω) ⊂ ker(dλ).
They are a simultaneous generalization of contact structures and taut foliations
defined by a closed 1-form. Stable Hamiltonian structures naturally
arise when studying the Weinstein conjecture and the h-principle for contact
structures and taut foliations. This thesis provides an extensive introduction
to these structures. We conclude by treating a structure theorem by Cieliebak
and Volkov on M^{3} induced by a stable Hamiltonian structure. | |
dc.description.sponsorship | Utrecht University | |
dc.language.iso | NL | |
dc.subject | Second Steps in Stable Hamiltonian Topology | |
dc.title | Second Steps in Stable Hamiltonian Topology | |
dc.type.content | Master Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.keywords | symplectic geometry; symplectic topology; contact geometry; contact topology; foliations; stable hamiltonian structures; stable hamiltonian topology; distributions; differential geometry; low-dimensional topology; differential topology; | |
dc.subject.courseuu | Mathematical Sciences | |
dc.thesis.id | 36152 | |