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Pré-Publication, Document De Travail Année : 2021

ON THE WHEELED PROP OF STABLE COHOMOLOGY OF Aut(F n ) WITH BIVARIANT COEFFICIENTS

Résumé

We show that the stable cohomology of automorphism groups of free groups with coefficients obtained by applying Hom(−, −) to tensor powers of the abelianization, is equipped with the structure of a wheeled PROP H. We define another wheeled PROP E by Ext-groups in the category of functors from the category of finitely generated free groups to k-modules. The main result of this paper is the construction of a morphism of wheeled PROPs ϕ : E → H such that ϕ(E) is the wheeled PROP generated by the cohomology class h 1 constructed by the first author.
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Dates et versions

hal-03242110 , version 1 (30-05-2021)

Identifiants

  • HAL Id : hal-03242110 , version 1

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Nariya Kawazumi, Christine Vespa. ON THE WHEELED PROP OF STABLE COHOMOLOGY OF Aut(F n ) WITH BIVARIANT COEFFICIENTS. 2021. ⟨hal-03242110⟩
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