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Tagged with adams-operations at.algebraic-topology
2 questions
14
votes
2
answers
555
views
Are the real and complex Adams operations compatible under the inclusions $U(n) \rightarrow SO(2n)$?
Does the following diagram commute?
$$
\require{AMScd}
\begin{CD}
BU @>{\psi^k}>> BU \\
@VVV @VVV \\
BO @>{\psi^k}>> BO
\end{CD}
$$
Evidence for: $rc = 2$, it works for $BU(1) \...
10
votes
1
answer
575
views
How to write K-theory Conner-Floyd Chern classes in terms of Adams operations?
From Adams, we know that the algebra of (unstable, degree-zero) cohomology operations $K^0(BU)$ can be written as formal infinite linear combinations of canonical generators
$$\mu_n := \sum_{i=0}^{n}...