Reciprocity laws and $K$-theory

Evgeny Musicantov, Alexander Yom Din

We associate to a full flag $\mathcal{F}$ in an $n$-dimensional variety $X$ over a field $k$, a "symbol map" ${\mu }_{\mathcal{F}}:K(F_X)\to {\Sigma }^{n}K(k)$. Here, $F_X$ is the field of rati…