6 papers
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…
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…
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…
Homological stability for symplectic groups via algebraic arc complexes
Ismael Sierra, Nathalie Wahl
We use algebraic arc complexes to prove a homological stability result for symplectic groups with slope 2/3 for rings with finite unitary stable rank. Symplectic groups are here in…
Homological stability of spin mapping class groups and quadratic symplectic groups
Ismael Sierra
We study the homological stability of spin mapping class groups of surfaces and of quadratic symplectic groups using cellular -algebras. We get improvements in their stability…
Homological stability of diffeomorphism groups of high dimensional manifolds via -algebras
Ismael Sierra
We will study homological stability of the diffeomorphism groups of the manifolds using -algebras. This will lead to new improveme…