Skip navigation
Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
dc.contributor.advisorPardon, John
dc.contributor.authorBai, Shaoyun
dc.contributor.otherMathematics Department
dc.description.abstractIn this thesis, we construct several invariants in low-dimensional topology and symplectic topology, including a symplectic definition of generalized Casson invariants, an extension of Taubes' Gromov invariants to symplectic Calabi-Yau threefolds, and integer-valued genus 0 Gromov--Witten type invariants for general compact symplectic manifolds, based on solutions to various equivariant transversality problems in symplectic topology. In a different direction, we also study the Rouquier dimension of wrapped Fukaya categories of Liouville manifolds to obtain applications in algebraic geometry and symplectic geometry.
dc.publisherPrinceton, NJ : Princeton University
dc.relation.isformatofThe Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: <a href=></a>
dc.subjectequivariant transversality
dc.subjectFukaya categories
dc.subjectsymplectic topology
dc.titleInvariants from Equivariant Transversality in Symplectic Topology and Some Results on the Rouquier Dimension of Wrapped Fukaya Categories
dc.typeAcademic dissertations (Ph.D.)
Appears in Collections:Mathematics

Files in This Item:
File Description SizeFormat 
Bai_princeton_0181D_14101.pdf1.6 MBAdobe PDFView/Download

Items in Dataspace are protected by copyright, with all rights reserved, unless otherwise indicated.