Topology of fiber bundles

Topology of fiber bundles

Master of Science === Department of Mathematics === David Auckly === 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 theor...

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Main Author: Zhang, Hainan
Language:en_US
Published: Kansas State University 2014
Subjects:
Introduction to Fiber Bundles
obstruction theory from characteristic class
1st SW class and 1st Chern class
Mathematics (0405)
Online Access:http://hdl.handle.net/2097/18185
id ndltd-KSU-oai-krex.k-state.edu-2097-18185
record_format oai_dc
spelling ndltd-KSU-oai-krex.k-state.edu-2097-181852016-03-01T03:52:21Z Topology of fiber bundles Zhang, Hainan Introduction to Fiber Bundles obstruction theory from characteristic class 1st SW class and 1st Chern class Mathematics (0405) Master of Science Department of Mathematics David Auckly 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. 2014-08-06T16:40:22Z 2014-08-06T16:40:22Z 2014-08-06 2014 August Thesis http://hdl.handle.net/2097/18185 en_US Kansas State University
collection NDLTD
language en_US
sources NDLTD
topic Introduction to Fiber Bundles
obstruction theory from characteristic class
1st SW class and 1st Chern class
Mathematics (0405)
spellingShingle Introduction to Fiber Bundles
obstruction theory from characteristic class
1st SW class and 1st Chern class
Mathematics (0405)
Zhang, Hainan
Topology of fiber bundles
description Master of Science === Department of Mathematics === David Auckly === 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.
author Zhang, Hainan
author_facet Zhang, Hainan
author_sort Zhang, Hainan
title Topology of fiber bundles
title_short Topology of fiber bundles
title_full Topology of fiber bundles
title_fullStr Topology of fiber bundles
title_full_unstemmed Topology of fiber bundles
title_sort topology of fiber bundles
publisher Kansas State University
publishDate 2014
url http://hdl.handle.net/2097/18185
work_keys_str_mv AT zhanghainan topologyoffiberbundles
_version_ 1718196891882094592

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