3 papers
math.AT2026
Galois actions on surfaces and a higher genus Grothendieck-Teichmüller group
Luciana Basualdo Bonatto, Marcy Robertson
We construct an operadic model for the higher-genus Teichmüller tower. More precisely, we define a modular operad in groupoids built from mapping class groups, with co…
cs.AI2021
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…
math.AT2020
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…