3 papers
math.AT2019
Level-sets persistence and sheaf theory
Nicolas Berkouk, Grégory Ginot, Steve Oudot
In this paper we provide an explicit connection between level-sets persistence and derived sheaf theory over the real line. In particular we construct a functor from 2-parameter pe…
math.AT2016
Deformation theory of bialgebras, higher Hochschild cohomology and formality
Gregory Ginot, Sinan Yalin
A first goal of this paper is to precisely relate the homotopy theories of bialgebras and -algebras. For this, we construct a conservative and fully faithful -functor…
math.CO2011
Helly numbers of acyclic families
Éric Colin de Verdière, Grégory Ginot, Xavier Goaoc
The Helly number of a family of sets with empty intersection is the size of its largest inclusion-wise minimal sub-family with empty intersection. Let F be a finite family of open…