All Questions
Tagged with kt.k-theory-and-homology reference-request
105 questions
55
votes
8
answers
7k
views
Applications of Grothendieck-Riemann-Roch?
I am currently trying to learn a bit about Grothendieck-Riemann-Roch...
To try to get a better feeling for it, I am looking for examples of nice applications of GRR applied to a proper morphism $X \...
- 21k
16
votes
3
answers
2k
views
Roadmap to a proof of the Atiyah-Singer Index Theorem which uses K-Theory
Lately my studies have been focusing on learning the machinery of K-Theory, and I thought that learning the Atiyah-Singer Index Theorem would be a good way to see K-Theory in action a bit and to learn ...
36
votes
5
answers
6k
views
What is the equivariant cohomology of a group acting on itself by conjugation?
This question makes sense for any topological group $G$, but I'd particularly like to know the answer for $G$ a compact, connected Lie group.
$G$ acts on itself by conjugation. One has the equivariant ...
- 13.2k
8
votes
1
answer
943
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-...
- 22.1k
14
votes
3
answers
3k
views
References for equivariant K-theory
I want a good introduction to localization in equivariant $K$-theory. This introduction can be simple in several ways:
I only care about torus actions.
I only care about $K^0$.
I only care about very ...
- 156k