Topology of fiber bundles
Date
2014-08-06
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Kansas State University
Abstract
This report introduces the fiber bundles. It includes the definitions of fiber bundles such as vector bundles and principal bundles, with some interesting examples. Reduction of the structure groups, and covering homotopy theorem and some specific computation using obstruction classes, Cech cohomology, Stiefel-Whitney classes, and first Chern classes are included.
Description
Keywords
Introduction to Fiber Bundles, obstruction theory from characteristic class, 1st SW class and 1st Chern class
Graduation Month
August
Degree
Master of Science
Department
Department of Mathematics
Major Professor
David R. Auckly
Date
2014
Type
Thesis