output
20012025
most citedKac-Moody groups and cluster algebras

177 citations

300 papers

math.AG2025

Injectivity failure in crystalline comparisons

Daniel Caro, Marco D'Addezio

For smooth affine varieties in positive characteristic, we identify a slope obstruction to the injectivity of the comparison morphism from rigid cohomology to rationalised crystall…

math.GT2025

Twisted homological stability for handlebody mapping class groups

Erik Lindell, Arthur Soulié

We prove twisted homological stability for handlebody mapping class groups. Using the categorical framework developed by Randal-Williams and Wahl, we establish that the homology of…

math.GR2025

Structure groups and second homology groups of linear Alexander quandles

Adrien Clément

Quandles are self-distributive algebraic structures known as sources of strong knots invariants, but also appearing in other contexts. From any quandle, one can construct two invar…

math.GT2025

The Splitting of Generalisations of the Fadell-Neuwirth short exact sequence

Daciberg Lima Gonçalves, John Guaschi, Carolina de Miranda e Pereiro

We study some generalisations to mixed braid groups of the Fadell-Neuwirth short exact sequence and the possible splitting of this sequence. In certain cases, we determine conditio…

math.GT2025

Braid groups of the projective plane, mapping class groups of non-orientable surfaces and algebraic K-theory of their group rings

John Guaschi, Daniel Juan-Pineda

We describe the lower algebraic -theory of the integral group ring of both the pure and full braid groups of the real projective plane with strings, as well…

math.NT2025

Sur une conjecture de Schinzel

F. Amoroso, N. H. Andriamandratomanana, D. Simon

We give a new proof of a conjecture of Schinzel on the intersection of a subvariety of codimension at least 2 in a power of the multiplicative group with a torus of dimension 1. Th…