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math.AT2022
The integration theory of curved absolute L-infinity algebras
Victor Roca i Lucio
In this article, we introduce the notion of a curved absolute -algebra, a structure that behaves like a curved -algebra where all infinite s…
math.AT2022
Absolute algebras, contramodules, and duality squares
Victor Roca i Lucio
Absolute algebras are a new type of algebraic structures, endowed with a meaningful notion of infinite sums of operations without supposing any underlying topology. Opposite to the…
math.AT2022★ 2 cited
Curved operadic calculus
Victor Roca i Lucio
Curved algebras are a generalization of differential graded algebras which have found numerous applications recently. The goal of this foundational article is to introduce the noti…