Superstring Theory: Loop Amplitudes, Anomalies and Phenomenology, Vol. 2 (Cambridge Monographs on Mathematical Physics)

After going through the first Volume, I decided it was a good time to picked up its continuation the second Volume- first a word of caution: I got lost on the first chapters about loop amplitudes, there are very ugly formulas and I get lost on the Number theory functions that are used although I do understand the importance of modular invariance which is used in One-Loop amplitudes. But I really got a lot off the chapters about the cancellation of the anomalies (which was discovered by this dudes [Green;Schwarz 1984]) and also the chapters so called "some differential geometry" and "some algebraic geometry" I do have to say though that for this last one, they talk almost entirely about Algebraic Topology rather than Algebraic Geometry, which I have gone very deep previously and so I had a really good base for it but it only touches a little bit about some facts of Algebraic Geometry which are used on the book as a form of example, but they themselves say: "Unfortunately we cannot go much further on this marvelous topic" Finally I also got a lot off the chapter about compactifications of extra dimensions, these four chapters which I am referring to are so well written, it is really a pleasure to read from the Masters themselves of SuperString Theory