Type
Text
Type
Dissertation
Advisor
LeBrun, Claude | Lawson, Blaine | Michelsohn, Marie-Louise | Rocek, Martin.
Date
2017-05-01
Keywords
Clifford Module | Mathematics
Department
Department of Mathematics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76378
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
It is known that if an oriented riemannian manifold is spin, then there exists a bundle of real Clifford modules which are pointwise irreducible. Similarly, if the manifold is spin^c, then there exists a bundle of complex pointwise irreducible Clifford modules. However, the converse of these statements is only partly true, and this thesis explores it in various cases. | 34 pages
Recommended Citation
Chen, Xuan, "Bundles of Irreducible Clifford Modules and the Existence of Spin Structures" (2017). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2302.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2302