Geometric K-homology of flat D-branes

R. M G Reis, Richard J. Szabo

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We use the Baum-Douglas construction of K-homology to explicitly describe various aspects of D-branes in Type II superstring theory in the absence of background supergravity form fields. We rigorously derive various stability criteria for states of D-branes and show how standard bound state constructions are naturally realized directly in terms of topological K-cycles. We formulate the mechanism of flux stabilization in terms of the K-homology of non-trivial fibre bundles. Along the way we derive a number of new mathematical results in topological K-homology of independent interest.

Original languageEnglish
Pages (from-to)71-122
Number of pages52
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - Aug 2006


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