Date Available
7-1-2016
Year of Publication
2016
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Advisor
Dr. Serge Ochanine
Abstract
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.
Digital Object Identifier (DOI)
http://dx.doi.org/10.13023/ETD.2016.282
Recommended Citation
Mosley, John E., "In Search of a Class of Representatives for SU-Cobordism Using the Witten Genus" (2016). Theses and Dissertations--Mathematics. 37.
https://uknowledge.uky.edu/math_etds/37
