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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.AT2019
Multiplicative persistent distances
Grégory Ginot, Johan Leray
We define and study several new interleaving distances for persistent cohomology which take into account the algebraic structures of the cohomology of a space, for instance the cup…
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…