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{title2=$\psi^k$}
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The Adams operations are natural ring endomorphisms of complex K-theory characterized on line bundles by
$$
\psi^k([L])=[L]^k.
$$


Adams operation

Cannibalistic class

Adams operation and the boundary pushforward of a sphere bundle

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

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 142 / 4 / Solution

{wiki=Adams_operation}

Adams operation is a concept from the field of algebra, specifically in the context of homotopy theory and stable homotopy theory. It is named after the mathematician Frank Adams, who introduced it while studying stable homotopy groups of spheres. In more detail, Adams operations are a family of operations on the ring of stable homotopy groups of spheres, which can be linked to the concept of formal group laws.


Adams operation ( $ψ^{k}$ )

Cannibalistic class ( $ρ^{k} (E)$ )

Adams operation and the boundary pushforward of a sphere bundle

Second Adams operation on the odd K-theory of the sphere bundle of two tautological lines ( $ψ^{2} : K^{- 1} (S (γ \oplus γ)) \to K^{- 1} (S (γ \oplus γ))$ )

 Ancestors (6)

 Incoming links (1)

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 Articles by others on the same topic (1)

Adams operation (ψk)

Cannibalistic class (ρk(E))

Adams operation and the boundary pushforward of a sphere bundle

Second Adams operation on the odd K-theory of the sphere bundle of two tautological lines (ψ2:K−1(S(γ⊕γ))→K−1(S(γ⊕γ)))

 Ancestors (6)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (1)

Adams operation ( $ψ^{k}$ )

Cannibalistic class ( $ρ^{k} (E)$ )

Second Adams operation on the odd K-theory of the sphere bundle of two tautological lines ( $ψ^{2} : K^{- 1} (S (γ \oplus γ)) \to K^{- 1} (S (γ \oplus γ))$ )

 Discussion (0)