D-brane categories
arXiv:hep-th/0305095 · doi:10.1142/S0217751X03015763
Abstract
This is an exposition of recent progress in the categorical approach to D-brane physics. I discuss the physical underpinnings of the appearance of homotopy categories and triangulated categories of D-branes from a string field theoretic perspective, and with a focus on applications to homological mirror symmetry.
37 pages, IJMPA style