Obstruction classes and Pontrjagin classes (Ex)
From Manifold Atlas
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Latest revision as of 01:00, 3 June 2014
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 .