Obstruction classes and Pontrjagin classes (Ex)
From Manifold Atlas
Revision as of 18:07, 17 March 2010 by Diarmuid Crowley (Talk | contribs)
Contents |
1 Question
Take the stable vector bundle over the -sphere corresponding to a generator of .
Question 1.1.
What is the -th integral Pontryagin class of , ?2 Answer
Let , let be the integer k-factorial and let be a generator.
Theorem 2.1 [Kervaire1959]. There is an identity
3 Further discussion
...
4 References
- [Kervaire1959] M. A. Kervaire, A note on obstructions and characteristic classes, Amer. J. Math. 81 (1959), 773–784. MR0107863 (21 #6585) Zbl 0124.16302