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dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorPino Gomez, A. del
dc.contributor.authorJong, Lay de
dc.date.accessioned2024-08-07T23:07:33Z
dc.date.available2024-08-07T23:07:33Z
dc.date.issued2024
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/47157
dc.description.abstractStable 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.sponsorshipUtrecht University
dc.language.isoNL
dc.subjectSecond Steps in Stable Hamiltonian Topology
dc.titleSecond Steps in Stable Hamiltonian Topology
dc.type.contentMaster Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordssymplectic geometry; symplectic topology; contact geometry; contact topology; foliations; stable hamiltonian structures; stable hamiltonian topology; distributions; differential geometry; low-dimensional topology; differential topology;
dc.subject.courseuuMathematical Sciences
dc.thesis.id36152


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