3 papers
math.AT2026
A homotopical enhancement of Neisendorfer's algebraic models
Bruno Stonek
We give an -categorical enhancement of Neisendorfer's equivalences between the homotopy categories of rational simplicial sets, commutative dg algebras (cdgas), cocommutati…
math.AT2026
Algebraic models for equivariant rational homotopy theory for discrete groups
José M. Moreno-Fernández, Bruno Stonek
We provide a framework which generalizes algebraic models of a homotopy theory of spaces to the genuine equivariant case for a discrete group. We explain how this applies to commut…
math.AG2024
The motive of a variety with cellular resolution of singularities
Bruno Stonek
A complex variety admits a cellular resolution of singularities if there exists a resolution of singularities such that its exceptional locus as well as $\w…