Classifications and applications of symplectic fillings of Seifert fibered spaces over S²

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dc.contributor.advisorGompf, Robert E., 1957-en
dc.contributor.committeeMemberEtnyre, Johnen
dc.contributor.committeeMemberGordon, Cameronen
dc.contributor.committeeMemberLuecke, Johnen
dc.contributor.committeeMemberKarakurt, Cagrien
dc.contributor.committeeMemberPerutz, Timothyen
dc.creatorStarkston, Laura Paulen
dc.date.accessioned2015-10-02T18:05:45Zen
dc.date.accessioned2018-01-22T22:28:16Z
dc.date.available2015-10-02T18:05:45Zen
dc.date.available2018-01-22T22:28:16Z
dc.date.issued2015-05en
dc.date.submittedMay 2015en
dc.date.updated2015-10-02T18:05:45Zen
dc.descriptiontexten
dc.description.abstractThis dissertation focuses on classifications and examples of symplectic fillings of Seifert fibered spaces over S² with a canonical contact structure. Broad results are obtained describing how such fillings arise. In large families of examples, explicit and complete classifications are given. Examples of such fillings can be used to produce symplectic cut-and-paste operations. These operations are strict generalizations of the rational blow-down operations, and their relations to the rational blow-down are discussed. Reinterpretations of these cut-and-paste operations as monodromy substitutions are also explored.en
dc.description.departmentMathematicsen
dc.format.mimetypeapplication/pdfen
dc.identifierdoi:10.15781/T2RW2Men
dc.identifier.urihttp://hdl.handle.net/2152/31506en
dc.language.isoenen
dc.subjectSymplectic fillingsen
dc.subjectSeifert fibered spaceen
dc.subjectStein fillingen
dc.subjectRational blow-downen
dc.subjectStar surgeryen
dc.titleClassifications and applications of symplectic fillings of Seifert fibered spaces over S²en
dc.typeThesisen

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