Fundamental Classes in Algebraic Cobordism
β Scribed by Marc Levine
- Book ID
- 111597278
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 80 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0920-3036
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let F : R n β R k (n k) be a polynomial mapping such that the real algebraic set X = F -1 (0) is compact. There are introduced a fundamental class [X] F β H n-k (X; Z) and a topological degree deg(G) for G : X β R n-k+1 -{0}, which coincide with the usual ones when X is a smooth oriented m-manifold.
Here we consider algebraic varieties which are closures of products of conjugacy classes in algebraic groups. Estimates for the dimension of such varieties are obtained. Moreover, these estimates are used in some questions of the Invariant Theory. Also, the structure of the monoid generated by the s