21 Übersetzungen
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Anwendungsbeispiele Englisch
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- Thus, the cohomology dimension of the stable normal bundle, as detected by its highest non-vanishing characteristic class, is an obstruction to immersions.
- A characteristic class is a way of associating to each principal bundle on a topological space "X" a cohomology class of "X".
- Just like in the non-equivariant setting, one can define an equivariant characteristic class of an equivariant vector bundle.
- In mathematics, a characteristic class is a way of associating to each principal bundle of "X" a cohomology class of "X".
- The Todd class in the theory of the higher-dimensional Riemann–Roch theorem is an example of a characteristic class (or, more accurately, a reciprocal of one) that was discovered by Todd in work published in 1937.
- In 4-dimensional gauge theories, as described in the previous section, instantons are gauge bundles with a nontrivial four-form characteristic class.
- The theory of characteristic classes of smooth manifolds has been extended to spectral triples, employing the tools of operator K-theory and cyclic cohomology.
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