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Additive polynomial superfunctors and cohomology

2022/01/31 by Iacopo Giordano, Giordano, Iacopo · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AT

paper · pdf · doi:10.48550/arxiv.2201.13204

arxiv created 2022/01/31 · openalex publication_date 2022/01/31 · arxiv updated 2022/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a classification of additive polynomial superfunctors, which allows us to compute some extensions of a superfunctor of the form F ∘ A where F is a classical polynomial functor and A is additive. We get a formula which relates these extensions to the classical ones of F. A possible generalisation is conjectured at the end.

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