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Title: K-homology and D-branes
Author: Reis, Rui Miguel Goncalves dos Reis
ISNI:       0000 0001 3429 552X
Awarding Body: Heriot-Watt University
Current Institution: Heriot-Watt University
Date of Award: 2007
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In the spirit of the work of P. Baum and R. Douglas in K-homology, we construct a set of abelian groups which define homotopy functors from the category of finite CWpairs onto the category of graded abelian groups. These we prove to be isomorphic to the geometric representation of KO-homology, the homology theory associated to KO-theory, constructed by M. Jakob. It is known that KO-homology has an analytic representation defined in terms of the C*-algebra of continuous functions over a space and of Kasparov's KK-theory. The third chapter presents our proof of the equivalence between this analytic representation of KO-homology and our geometric constructions. Applying our mathematical constructions, we explicitly describe various aspects of D-branes in Type II superstring theory in the absence of background supergravity form fields. Also, we study the classification of D-branes and Ramond-Ramond fields in Type I string theory and show that the AMS invariant naturally assigns torsion charges to non-BPS states in Type I string theory.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available