2002/01/25 by Eunsang Kim, Kim, Eunsang
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0201202
11pages, minor changes, references added
arxiv created 2002/03/06 · arxiv updated 2009/11/30
In this article, we study how the Grothendieck group of coherent sheaves can be used to describe D-branes. We show how global bound state construction in topological K-theory can be adapted to our context, showing that D-branes wrapping a subvariety are holomorphically classified by a relative K-group. By taking the duality between the relative K-groups and the K-homologies, we show that D-brane charge of type IIB superstrings is properly classified by the K-homology.