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Results tagged with kt.k-theory-and-homology
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user 86526
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
9
votes
0
answers
221
views
Torsion in Atiyah Singer index formula
In the papers of Atiyah and Singer, they first show their index theorem and then derive some index formulas.
For the Fredholm index living in the integers, they use the fact that on spheres the Chern …
- 659
7
votes
1
answer
829
views
Mayer Vietoris Spectral sequence for topological K theory
In Sheaf theory one can obtain the Mayer Vietoris spectral sequence for cohomology. For $\mathcal{U}$ an open cover of $X$ we get the convergence
$E_2^{pq} = \check H^p(\mathcal{U},H^q(-,F)) \Longrig …
- 659