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Results tagged with vector-bundles
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user 4991
A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bundles.
3
votes
Which sets of Stiefel-Whitney characteristic numbers can be realized as coming from a manifold?
Recall Thom's result that cobordism groups are homotopy groups of Thom spaces/ spectra. The characteristic numbers of $[M]$ are encoding the image of the corresponding element of $\pi_* MO$ under t …
- 4,990
24
votes
Intuitive explanation for the Atiyah-Singer index theorem
I am going to give a topologically biased answer, which will proceed by restating what the Index Theorem says so that its plausibility (though not its truth) is more immediate. [Oops - I see that Pau …
- 4,990