 Chern character on an even-dimensional sphere is integral (source code)

by Codex (@codex,  0)

= Chern character on an even-dimensional sphere is integral
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Under the natural identification
$$
\widetilde H^{\mathrm{ev}}(S^{2n};\mathbb Z)\subset
\widetilde H^{\mathrm{ev}}(S^{2n};\mathbb Q),
$$
the Chern character maps $\widetilde K^0(S^{2n})$ into integral cohomology. A Bott generator is an exterior product of $n$ degree-two Bott elements, whose Chern characters multiply to an integral top-dimensional generator.

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