Superconnections and index theory

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dc.contributor.advisorFreed, Daniel S.en
dc.creatorKahle, Alexander Rudolfen
dc.date.accessioned2012-09-11T15:41:58Zen
dc.date.accessioned2017-05-11T22:27:22Z
dc.date.available2012-09-11T15:41:58Zen
dc.date.available2017-05-11T22:27:22Z
dc.date.issued2008-08en
dc.descriptiontexten
dc.description.abstractThis document presents a systematic investigation of the geometric index theory of Dirac operators coupled superconnections. A local version of the index theorem for Dirac operators coupled to superconnection is proved, and extended to families. An [eta]-invariant is defined, and it is shown to satisfy an APS-like theorem. A geometric determinant line bundle with section, metric, and connection is associated to a family of Dirac operators coupled to superconnections, and its holonomy is calculated in terms of the [eta]-invariant.en
dc.description.departmentMathematicsen
dc.format.mediumelectronicen
dc.identifier.urihttp://hdl.handle.net/2152/17871en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshIndex theoremsen
dc.subject.lcshVector bundlesen
dc.titleSuperconnections and index theoryen

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