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In Search of a Class of Representatives for <em>SU</em>-Cobordism Using the Witten Genus

In algebraic topology, we work to classify objects. My research aims to build a better understanding of one important notion of classification of differentiable manifolds called cobordism. Cobordism is an equivalence relation, and the equivalence classes in cobordism form a graded ring, with operations disjoint union and Cartesian product. My dissertation studies this graded ring in two ways:
1. by attempting to find preferred class representatives for each class in the ring.
2. by computing the image of the ring under an interesting ring homomorphism called the Witten Genus.

Identiferoai:union.ndltd.org:uky.edu/oai:uknowledge.uky.edu:math_etds-1036
Date01 January 2016
CreatorsMosley, John E.
PublisherUKnowledge
Source SetsUniversity of Kentucky
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceTheses and Dissertations--Mathematics

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