Obstruction classes and Pontrjagin classes (Ex)
From Manifold Atlas
Revision as of 14:53, 1 April 2012 by Diarmuid Crowley (Talk | contribs)
Take the stable vector bundle over the -sphere corresponding to a generator of . By defintion, the the primary obstruction to trivialising is a cohomology class which generates .
Exercise 0.1. Determine the -th integral Pontryagin class of , , in terms of .