### Abstract

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 language | English |
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Pages (from-to) | 71-122 |

Number of pages | 52 |

Journal | Communications in Mathematical Physics |

Volume | 266 |

Issue number | 1 |

DOIs | |

Publication status | Published - Aug 2006 |

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## Cite this

Reis, R. M. G., & Szabo, R. J. (2006). Geometric K-homology of flat D-branes.

*Communications in Mathematical Physics*,*266*(1), 71-122. https://doi.org/10.1007/s00220-006-0010-8