4 problems

Assume that $F$ is an algebraically closed field. Let $\beta_n(F)$ be the additive higher Bloch module and ${\cal E}_n(F)$ the Euclidean $F$-scissor congruence group. Higher additi…

Let $F_{\varepsilon}=F[\varepsilon]/(\varepsilon^2)$, and let ${\cal Q}_{\bullet}(F_{\varepsilon})$ be the Lie coalgebra combining the non-Euclidean and Euclidean scissor-congruenc…

Let $F$ be an algebraically closed field, and let ${\cal E}_{(n)}^{\ast}(F)$ be the degree-$n$ Euclidean Dehn complex of Euclidean scissor congruence groups. For an $F$-vector spac…

Goncharov's scissor-congruence realization conjecture. The map constructed in theorem 11.18.01.5(c) is an isomorphism.