The odd chern character and obstruction theory

The odd chern character and obstruction theory

<p>Having as starting point a formula described in the paper of Baum & Douglas, [BmDg] the odd-degree component of the Chern character is is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-d...

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Main Author: Dumitra?cu, Constantin Dorin
Other Authors: Mathematics
Format: Others
Language:en
Published: Virginia Tech 2014
Subjects:
k-theory
LD5655.V855 1995.D865
Online Access:http://hdl.handle.net/10919/42530
http://scholar.lib.vt.edu/theses/available/etd-05092009-040330/
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spelling ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-425302021-05-26T05:48:24Z The odd chern character and obstruction theory Dumitra?cu, Constantin Dorin Mathematics Haskell, Peter E. Ball, Joseph A. Olin, Robert F. Quinn, Frank S. k-theory LD5655.V855 1995.D865 <p>Having as starting point a formula described in the paper of Baum & Douglas, [BmDg] the odd-degree component of the Chern character is is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-degree component (see Theorem 4.3.1) and leads to a natural justification of the fundamental property of the Chern character, i.e. of being a ring homomorphism. The reader is assumed to have some background in topological Î -theory and algebraic topology.</p> Master of Science 2014-03-14T21:35:44Z 2014-03-14T21:35:44Z 1995-05-06 2009-05-09 2009-05-09 2009-05-09 Thesis Text etd-05092009-040330 http://hdl.handle.net/10919/42530 http://scholar.lib.vt.edu/theses/available/etd-05092009-040330/ en OCLC# 34353622 LD5655.V855_1995.D865.pdf In Copyright http://rightsstatements.org/vocab/InC/1.0/ iv, 56 leaves BTD application/pdf application/pdf Virginia Tech
collection NDLTD
language en
format Others
sources NDLTD
topic k-theory
LD5655.V855 1995.D865
spellingShingle k-theory
LD5655.V855 1995.D865
Dumitra?cu, Constantin Dorin
The odd chern character and obstruction theory
description <p>Having as starting point a formula described in the paper of Baum & Douglas, [BmDg] the odd-degree component of the Chern character is is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-degree component (see Theorem 4.3.1) and leads to a natural justification of the fundamental property of the Chern character, i.e. of being a ring homomorphism. The reader is assumed to have some background in topological Î -theory and algebraic topology.</p> === Master of Science
author2 Mathematics
author_facet Mathematics
Dumitra?cu, Constantin Dorin
author Dumitra?cu, Constantin Dorin
author_sort Dumitra?cu, Constantin Dorin
title The odd chern character and obstruction theory
title_short The odd chern character and obstruction theory
title_full The odd chern character and obstruction theory
title_fullStr The odd chern character and obstruction theory
title_full_unstemmed The odd chern character and obstruction theory
title_sort odd chern character and obstruction theory
publisher Virginia Tech
publishDate 2014
url http://hdl.handle.net/10919/42530
http://scholar.lib.vt.edu/theses/available/etd-05092009-040330/
work_keys_str_mv AT dumitracuconstantindorin theoddcherncharacterandobstructiontheory
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