Splitting of logarithmic Gromov-Witten invariants under degeneration

dc.contributor.advisorSiebert, Bernd S.
dc.contributor.committeeMemberGross, Mark
dc.contributor.committeeMemberKeel, Sean
dc.contributor.committeeMemberPayne, Samuel
dc.creatorWu, Yixian, Ph. D.
dc.creator.orcid0000-0002-2856-986X
dc.date.accessioned2022-09-20T20:48:46Z
dc.date.available2022-09-20T20:48:46Z
dc.date.created2022-08
dc.date.issued2022-06-29
dc.date.submittedAugust 2022
dc.date.updated2022-09-20T20:48:47Z
dc.description.abstractIn this dissertation, I study the theory of punctured Gromov-Witten invariants built by Abramovich, Chen, Gross and Siebert. I prove a splitting formula that reconstructs the logarithmic Gromov-Witten invariants of simple normal crossing varieties from the punctured Gromov-Witten invariants of their irreducible components, under the assumption of the gluing strata being toric varieties.
dc.description.departmentMathematics
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2152/115846
dc.identifier.urihttp://dx.doi.org/10.26153/tsw/42744
dc.subjectLogarithmic geometry
dc.subjectGromov-Witten invariants
dc.titleSplitting of logarithmic Gromov-Witten invariants under degeneration
dc.typeThesis
dc.type.materialtext
thesis.degree.departmentMathematics
thesis.degree.disciplineMathematics
thesis.degree.grantorThe University of Texas at Austin
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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