TITLE: Algebraic geometry and algebraic topology used in string theory
QUESTION [5 upvotes]: I am looking for a comprehensive book or notes in algebraic geometry and algebraic topology techniques used in string theory compactifications covering topics like orientifolds, orbiolds, Calabi-Yau manifolds and toric geometry, divisors, resolution of singularities, fiber bundles etc.
If it contains explicit examples and exercises it would be useful.

REPLY [2 votes]: Did you try the CMI book on Mirror Symmetry by Hori et al, available here ? In particular chapters 6 and 7 seem relevant.