Mapping tori and stable pairs

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dc.contributor.advisorPerutz, Timothy
dc.contributor.committeeMemberManolescu, Ciprian
dc.contributor.committeeMemberLuecke, John
dc.contributor.committeeMemberGompf, Robert
dc.contributor.committeeMemberNeitzke, Andrew
dc.creatorLee, Andrew Scott
dc.creator.orcid0000-0002-5943-5821
dc.date.accessioned2017-06-19T21:55:50Z
dc.date.available2017-06-19T21:55:50Z
dc.date.issued2017-05
dc.date.submittedMay 2017
dc.date.updated2017-06-19T21:55:50Z
dc.description.abstractWe construct an invariant of mapping tori from a moduli space of stable pairs, where a pair is a rank 2 vector bundle over a closed Riemann surface along with a nonzero section. In the case of genus 1 fibers, we calculate this invariant for a large subset of such mapping tori.
dc.description.departmentMathematics
dc.format.mimetypeapplication/pdf
dc.identifierdoi:10.15781/T2377616W
dc.identifier.urihttp://hdl.handle.net/2152/47274
dc.language.isoen
dc.subjectSymplectic geometry
dc.subjectMapping tori
dc.subjectStable pairs
dc.subjectVector bundles
dc.subjectRiemann surface
dc.subjectInvariants
dc.titleMapping tori and stable pairs
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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