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dc.contributor.advisorMargalit, Dan
dc.contributor.authorScott, Shane
dc.date.accessioned2019-01-16T17:21:31Z
dc.date.available2019-01-16T17:21:31Z
dc.date.created2018-12
dc.date.issued2018-08-15
dc.date.submittedDecember 2018
dc.identifier.urihttp://hdl.handle.net/1853/60722
dc.description.abstractThe curve complex of Harvey allows combinatorial representation of a surface mapping class group by describing its action on simple closed curves. Similar complexes of spheres, free factors, and free splittings allow combinatorial representation of the automorphisms of a free group. We consider a Birman exact sequence for combinatorial models of mapping class groups and free group automorphisms. We apply this and other extension techniques to compute the automorphism groups of several simplicial complexes associated with mapping class groups and automorphisms of free groups.
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherGeorgia Institute of Technology
dc.subjectGeometric group theory
dc.subjectGeometry
dc.subjectTopology
dc.subjectSurfaces
dc.subjectMapping classes
dc.subjectCurve graph
dc.subjectCurve complex
dc.titleCombinatorial models for surface and free group symmetries
dc.typeDissertation
dc.description.degreePh.D.
dc.contributor.departmentMathematics
thesis.degree.levelDoctoral
dc.contributor.committeeMemberBrendle, Tara
dc.contributor.committeeMemberEtnyre, John
dc.contributor.committeeMemberHom, Jen
dc.contributor.committeeMemberWickelgren, Kirsten
dc.date.updated2019-01-16T17:21:31Z


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