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Results tagged with chern-classes
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user 4008
Characteristic classes associated to complex vector bundles.
5
votes
Accepted
Chern numbers of primitive classes in BU
We have that if $f\colon S^{2k}\to BU$ is an actual map of topological spaces (it is a little bit unclear from your formulation if you assume this) then $\langle c_k,[f]\rangle>$ is a multiple of $(k- …
- 22.6k
12
votes
Accepted
Top chern class in positive characteristic
The same thing is true in positive characteristic, the degree of $c_n$ is equal to the Euler characteristic (except if you consider de Rham cohomology where it only is the Euler characteristic mod $p$ …
- 22.6k
15
votes
Accepted
Complex vector bundles with trivial Chern classes on k-tori
As the cohomology of $(S^1)^n$ is torsion free every stable bundle on $(S^1)^n$ is
determined by Chern classes (this also follows from the $K$-theory Künneth
formula) so just as for the spheres it is …
- 22.6k