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Results tagged with at.algebraic-topology
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user 56878
Homotopy theory, homological algebra, algebraic treatments of manifolds.
9
votes
2
answers
428
views
Topological Derivation of Leray Spectral Sequence
I'm interested in computing - to the extent possible - the Leray spectral sequence for a particular map which is almost, but not quite, a fiber bundle (e.g. a Seifert fiber space). The hardest step cu …
- 3,058
1
vote
1
answer
958
views
Torsion in the (co-)homology of a smooth projective variety - what is known in general?
There are lots of ways in which the complex singular (co-)homology of a smooth projective variety over $\mathbb{C}$ is "special" among complex manifolds - the hard Lefschetz theorem, the Hodge decompo …
- 3,058
9
votes
Accepted
Is there a version of algebraic de Rham cohomology that can be used to calculate torsion cla...
You should read the introduction to Bhargav Bhatt's lecture notes on prismatic cohomology: available here. This is a new cohomology theory introduced by Bhatt-Scholze (closely related to prior work by …
- 3,058