K-homology in algebraic geometry and D-branes
نویسنده
چکیده
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. ∗This work was supported by the Brain Korea 21 Project in 2001
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