characteristic class meaning in Hindi

Examples

1. This is an extraordinary result that does not generalize to other characteristic classes.
2. The theory of characteristic classes generalizes the idea of obstructions to our extensions.
3. Equivalently, all finite characteristic classes pull back from a stable class in BG.
4. The Euler class, in turn, relates to all other characteristic classes of vector bundles.
5. Because of this, the tautological bundle is important in the study of characteristic classes.
6. The result is expressed as an integral of certain characteristic classes over the infinite fiber.
7. Such a rational version, in fact a characteristic class of twisted K-theory, is already known.
8. Stated another way, the only characteristic class of a 3-manifold is the obstruction to orientability.
9. The fundamental characteristic class in cyclic cohomology, the JLO cocycle, generalizes the classical Chern character.
10. In this way foundational cases for the theory of characteristic classes depend only on line bundles.