Secondary Cohomology Operations and Complex Vector Bundles

S. Gitler, M. Mahowald, R. James Milgram
1969 Proceedings of the American Mathematical Society  
Secondary cohomology operations have proved very useful in recent years [2], [5], [6]. Here we show that certain secondary operations are associated with the divisibility by 2 of the Chern classes of complex vector bundles, and so we obtain a very simple method for evaluating them. Thus let i>4j be the secondary operation based on the relation Sq^q4^ (Sq2Sq1)Sq4^2 + Sq^Sq1 = 0.
doi:10.2307/2036957 fatcat:vx7j4fmrhrcfddppghk6gcvscy