Lately, my work has been mainly concerned with extending the topological string machinery to orientifolds, that is, a combined gauging of worldsheet parity and a target-space involution. Besides the physical importance of orientifolds in superstring theories, this also leads to some new mathematics. This is because, roughly speaking, the free-energy of the orientifolded topological string is the generating function of maps from the world-sheet to targetspace, where the world-sheet may now possess boundaries and cross-caps, thus, giving a physical count of some new invariants of the target-space.