>>11551518at first glance it looks like a string theory guide - lots of topology, geometry, group theory and manifolds. yeah, I also see Yang Mills, spinors and the dirac operator... definitely a string theory walkthrough without actually studying the physics that arises from the math.
Maybe there are some extras - like ergodic theory and number theory, but that's nothing in comparison with the amount of diff.geo and group theory that's covered in that guide.