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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

82 votes
3 answers
12k views

Intuitive explanation for the Atiyah-Singer index theorem

My question is related to the question Explanation for the Chern Character to this question about Todd classes, and to this question about the Atiyah-Singer index theorem. I'm trying to learn the Atiy …
8 votes
1 answer
934 views

Freedman's work on non-simply-connected 4-manifolds

In the late 1970's and in the 1980's, Michael Freedman showed a relationship between the topological surgery problem in 4-dimensions, the slice problem for links, and the classification of non-simply- …