 Second Adams operation on the odd K-theory of the sphere bundle of two tautological lines

ID: second-adams-operation-on-the-odd-k-theory-of-the-sphere-bundle-of-two-tautological-lines

Choose

a, b

with

p_{!} (a) = t^{n - 1}

and

p_{!} (b) = t^{n}

, where

t = 1 - [\overline{γ}]

. Then

ψ^{2} (a) = 2^{n + 1} a - (n + 1) 2^{n} b, ψ^{2} (b) = 2^{n + 2} b .

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