Type of Document	Master's Thesis
Author	Dumitra?cu, Constantin Dorin
URN	etd-05092009-040330
Title	The odd chern character and obstruction theory
Degree	Master of Science
Department	Mathematics
Advisory Committee	Advisor Name Title Haskell, Peter E. Committee Chair Ball, Joseph A. Committee Member Olin, Robert F. Committee Member Quinn, Frank S. Committee Member
Keywords	k-theory
Date of Defense	1995-05-06
Availability	restricted
Abstract 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 Κ-theory and algebraic topology.
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