most recent 30 from http://mathoverflow.net 2013-06-19T19:13:58Z http://mathoverflow.net/feeds/user/751 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/1162/atiyah-singer-index-theorem/1228#1228 Jonathan Campbell 2009-10-19T15:54:54Z 2009-10-19T15:54:54Z

<p>I'm reading the original paper right now and finding it a little terse in some places, but a good guide. "Spin Geometry" by Michelson and Lawson has a chapter that covers in great detail all the analysis you need for index theory as well as complete proofs of the index theorem in all of its forms. It also has some decent chapters on K-theory (What you really need is to understand the Thom Isomorphism in K-theory. Segal's "Equivariant K-Theory" also has a nice description.)</p> <p>Hope this helps.</p>