Bordism invariants of the mapping class group

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dc.contributor.advisorCochran, Tim D.en_US
dc.creatorHeap, Aaronen_US
dc.date.accessioned2009-06-04T08:25:15Zen_US
dc.date.available2009-06-04T08:25:15Zen_US
dc.date.issued2004en_US
dc.description.abstractWe define new bordism and spin bordism invariants of certain subgroups of the mapping class group of a surface. In particular, they are invariants of the Johnson filtration of the mapping class group. The second and third terms of this filtration are the well-known Torelli group and Johnson subgroup, respectively. We introduce a new representation in terms of spin bordism, and we prove that this single representation contains all of the information given by the Johnson homomorphisms, the Birman-Craggs homomorphisms, and the Morita homomorphisms.en_US
dc.format.extent70 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH. 2004 HEAPen_US
dc.identifier.citationHeap, Aaron. "Bordism invariants of the mapping class group." (2004) Diss., Rice University. <a href="https://hdl.handle.net/1911/18635">https://hdl.handle.net/1911/18635</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/18635en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.titleBordism invariants of the mapping class groupen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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