2 papers
math.AT2018
Directed topological complexity
Eric Goubault, Michael Farber, Aurélien Sagnier
It has been observed that the very important motion planning problem of robotics mathematically speaking boils down to the problem of finding a section to the path-space fibration,…
math.NT2017
An arithmetic site of Connes-Consani type for imaginary quadratic fields with class number 1
Aurélien Sagnier
We construct, for imaginary quadratic number fields with class number 1, an arithmetic site of Connes-Consani type. The main difficulty here is that the constructions of Connes and…