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math.GR2026
On the surjectivity conjectures of Dupont and Monod
Alexander Kupers, Daniil Rudenko, Ismael Sierra
In this paper we apply our work on polylogarithmic cocycles representing the Borel classes to establish that the comparison map from bounded continuous cohomology to continuous coh…
math.KT2026
Mixed Tate motives over number fields
Alexander Kupers, Daniil Rudenko, Ismael Sierra
This paper relates algebraic K-theory of fields to polylogarithms via general linear groups. We focus on the case of number fields and prove that the motivic realisation map from t…
math.KT2026
The Goncharov Lie coalgebra of a field
Alexander Kupers, Daniil Rudenko, Ismael Sierra
This paper relates algebraic -theory of fields to polylogarithms via general linear groups. We introduce the Goncharov Lie coalgebra, defined in terms of the -homology…