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Results tagged with kt.k-theory-and-homology
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user 3664
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
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 …
6
votes
1
answer
348
views
Significance of the vanishing of $K_{-1}(A)$
In M. Schlichting's paper, he defines the negative $K$-theory for derived categories. In this he states that for $\mathcal{A}$ an idempotent complete (see below) triangulated category, $K_{-1}(\mathca …
- 855