3 papers
math.CT2025
From Abelianization to Tangent Categories
Sacha Ikonicoff, Jean-Simon Pacaud Lemay, Tim Van der Linden
A tangent category is a category with an endofunctor, called the tangent bundle functor, which is equipped with various natural transformations that capture essential properties of…
math.CT2025
Tangent structures for divided power algebras
Sacha Ikonicoff
We build a tangent structure on the category of divided power algebras using a particular notion of semidirect product. We show that this tangent structure admits an adjoint tangen…
math.RA2025
Quillen (co)homology of divided power algebras over an operad
Ioannis Dokas, Martin Frankland, Sacha Ikonicoff
Barr--Beck cohomology, put into the framework of model categories by Quillen, provides a cohomology theory for any algebraic structure, for example André--Quillen cohomology of co…