135 citations · 485 across the 22 of their papers we have counts for
26 papers
The double of a simplicial complex
Kathryn Lesh, Bridget Schreiner, Nathalie Wahl
We introduce the notion of doubling and r-tupling for simplicial complexes, a notion reminiscent to that of matching complexes in graph theory. We prove a connectivity result for s…
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…
Disordered arcs and Harer stability
Oscar Harr, Max Vistrup, Nathalie Wahl
We give a new proof of homological stability with the best known isomorphism range for mapping class groups of surfaces with respect to genus. The proof uses the framework of Randa…
Homological stability: a tool for computations
Nathalie Wahl
Homological stability has shown itself to be a powerful tool for the computation of homology of families of groups such as general linear groups, mapping class groups or automorphi…
String topology in three flavours
Florian Naef, Manuel Rivera, Nathalie Wahl
We describe two major string topology operations, the Chas-Sullivan product and the Goresky-Hingston coproduct, from geometric and algebraic perspectives. The geometric constructio…
An infinity operad of normalized cacti
Luciana Basualdo Bonatto, Safia Chettih, Abigail Linton +3
We show that normalized cacti form an -operad in the form of a dendroidal space satisfying a weak Segal condition. To do this, we introduce a new topological operad of brac…