Grothendieck groups of the Khovanov–Kuperberg algebras - Université Clermont Auvergne
Article Dans Une Revue Journal of Knot Theory and Its Ramifications Année : 2015

Grothendieck groups of the Khovanov–Kuperberg algebras

Résumé

The aim of this paper is to take benefit of the foam nature of the Khovanov–Kuperberg algebras to compute the Grothendieck groups of their categories of finite-dimensional projective modules. The computation relies on the Hattori–Stallings trace and some geometrical properties of foams in the solid torus.

Dates et versions

hal-04154124 , version 1 (06-07-2023)

Identifiants

Citer

Louis-Hadrien Robert. Grothendieck groups of the Khovanov–Kuperberg algebras. Journal of Knot Theory and Its Ramifications, 2015, 24 (14), pp.1550070. ⟨10.1142/S0218216515500704⟩. ⟨hal-04154124⟩
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