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dc.contributor.advisorLau, Siu-Cheongen_US
dc.contributor.advisorKimura, Takashien_US
dc.contributor.authorZheng, Xiaoen_US
dc.date.accessioned2020-11-20T15:21:24Z
dc.date.available2020-11-20T15:21:24Z
dc.date.issued2020
dc.identifier.urihttps://hdl.handle.net/2144/41702
dc.description.abstractIn this thesis, we develop a Morse model for G-equivariant Lagrangian Floer theory and use it to study equivariant mirror symmetry from the perspective of SYZ. In the case of a semi-Fano toric manifold, we show that the T-equivariant SYZ mirror we obtain is the T-equivariant toric Landau-Ginzburg mirror of Givental. We also compute the equivariant disc potential of immersed SYZ fibers in toric Calabi-Yau manifolds and obtain interesting invariants. In dimension three, it is closely related to open Gromov-Witten invariants of Aganagic-Vafa branes.en_US
dc.language.isoen_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectMathematicsen_US
dc.subjectAganagic-Vafa braneen_US
dc.subjectEquivariant Lagrangian Floer theoryen_US
dc.subjectEquivariant Landau-Ginzburg modelen_US
dc.subjectEquivariant SYZen_US
dc.subjectMirror symmetryen_US
dc.titleEquivariant Lagrangian Floer theory and mirror symmetryen_US
dc.typeThesis/Dissertationen_US
dc.date.updated2020-11-19T20:02:39Z
etd.degree.nameDoctor of Philosophyen_US
etd.degree.leveldoctoralen_US
etd.degree.disciplineMathematics & Statisticsen_US
etd.degree.grantorBoston Universityen_US


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Attribution-NonCommercial-NoDerivatives 4.0 International
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 International