Symplectic-prequantum structures and dynamics on the codimension-2 shape space

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dc.contributor.authorSadashige Ishida
dc.date.accessioned2026-01-09T07:44:00Z
dc.date.available2026-01-09T07:44:00Z
dc.date.issued2025-10-31
dc.description.abstractThe space of codimension-2 shapes, such as curves in 3D and surfaces in 4D, is an infinite-dimensional manifold. This thesis explores geometric structures and dynamics on this space, with emphasis on their implications for physics, particularly hydrodynamics. Our investigation ranges from theoretical studies of infinite-dimensional symplectic and prequantum geometry to numerical computation of the time evolution of shapes.
dc.description.sponsorshipProjects contained in this thesis were financially supported in part by the European Research Council with grants 1. ERC Consolidator Grant 101045083 CoDiNA, and 2. the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 638176.
dc.identifier.isbn978-3-99078-070-1
dc.identifier.urihttps://diglib.eg.org/handle/10.2312/3607299
dc.language.isoen
dc.titleSymplectic-prequantum structures and dynamics on the codimension-2 shape space
dc.typeThesis
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