Title page for ETD etd-05092009-040330


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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