2 citations · 4 across the 9 of their papers we have counts for
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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…
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…
The Rosický Tangent Categories of Algebras over an Operad
Sacha Ikonicoff, Marcello Lanfranchi, Jean-Simon Pacaud Lemay
Tangent categories provide a categorical axiomatization of the tangent bundle. There are many interesting examples and applications of tangent categories in a variety of areas such…
Cartesian Differential Comonads and New Models of Cartesian Differential Categories
Sacha Ikonicoff, Jean-Simon Pacaud Lemay
Cartesian differential categories come equipped with a differential combinator that formalizes the derivative from multi-variable differential calculus, and also provide the catego…