Integrations and cohomology theory
β Scribed by Mark Kleiner
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 858 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A construction is given for an integral transform from sections of a vector bundle over one manifold into Dolbeault cohomology of a (related) holomorphic vector bundle over a second manifold. It is demonstrated that the transform arises naturally in appropriate homogeneous situations where it is sho
Under mild conditions on the space X, we describe the additive structure of the integral cohomology of the space X p = EC in terms of the cohomology of X. ## C p p We give weaker results for other similar spaces, and deduce various corollaries concerning the cohomology of finite groups.
We prove that two arithmetically significant extensions of a field F coincide if w x and only if the Witt ring WF is a group ring β«ήβ¬rn G . Furthermore, working modulo squares with Galois groups which are 2-groups, we establish a theorem analogous to Hilbert's Theorem 90 and show that an identity li