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arXiv · 1910.07112

Hilbert's third problem and a conjecture of Goncharov

Jonathan Campbell·Inna Zakharevich
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Abstract

In this paper we reduce the generalized Hilbert's third problem about Dehn invariants and scissors congruence classes to the injectivity of certain Chern--Simons invariants. We also establish a version of a conjecture of Goncharov relating scissors congruence groups of polytopes and the algebraic $K$-theory of $\mathbf{C}$.

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Jonathan Campbell, Inna Zakharevich. 2019-10-16. Hilbert's third problem and a conjecture of Goncharov. https://arxiv.org/abs/1910.07112

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