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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- …