1 citations · 1 across the 4 of their papers we have counts for
5 papers
Galois actions on surfaces and a higher genus Grothendieck-Teichmüller group
Luciana Basualdo Bonatto, Marcy Robertson
We construct a modular operad of mapping class groupoids modelling the higher-genus Teichmüller tower, with compositions and contractions encoding surface gluing. We p…
Decoupling generalised configuration spaces on surfaces
Luciana Basualdo Bonatto
The configuration space of k points on a manifold carries an action of its diffeomorphism group. The homotopy quotient of this action is equivalent to the classifying space of diff…
The Influence of Memory in Multi-Agent Consensus
David Kohan Marzagão, Luciana Basualdo Bonatto, Tiago Madeira +2
Multi-agent consensus problems can often be seen as a sequence of autonomous and independent local choices between a finite set of decision options, with each local choice undertak…
Decoupling decorations on moduli spaces of manifolds
Luciana Basualdo Bonatto
We consider moduli spaces of -dimensional manifolds with embedded particles and discs. In this moduli space, the location of the particles and discs is constrained by the -di…
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…