I'm a beginning graduate student in string theory and I'm in the process of teaching myself algebraic geometry. I'm using lecture notes that go without mention of physics. I'm curious if there is a introductory book, or paper, or set of lecture notes that describes the application of alg. geometry to physics and string theory, specifically? On a related note, I know algebraic topology and complex manifold theory also need to be on my to-do list; are there nice references for these in relation to physics? All I could find on the internet were papers on the arxiv that seem to assume one already knows most of the mathematics. Thanks for any help.