Accounting for black hole entropy via a precise counting of quantum states in string theory is an important research program which is far from completion. Here we present a collection of results aimed at understanding Calabi-Yau black holes in the type IIA theory. The strategy is based on a reduction of the system to a nonlinear sigma model whose target is the moduli space of vacua. Computing various indices gives information about the BPS state structure and ultimately the entropy of a class of black holes.
