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.AT2021
Divided power algebras and distributive laws
Sacha Ikonicoff
We study the divided power structures over a product of operads with distributive law. We give a systematic method to characterise the divided power algebras over such a product fr…
math.AT2019
Unstable algebras over an operad
Sacha Ikonicoff
The aim of this article is to define and study a notion of unstable algebra over an operad that generalises the classical notion of unstable algebra over the Steenrod algebra. For…