On cubes of Frobenius extensions
Ben Elias
University of Oregon, Eugene, USANoah Snyder
Indiana University, Bloomington, United StatesGeordie Williamson
Max-Planck-Institut für Mathematik, Bonn, Germany
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Abstract
Given a hypercube of Frobenius extensions between commutative algebras, we provide a diagrammatic description of some natural transformations between compositions of induction and restriction functors, in terms of colored transversely-intersecting planar 1-manifolds. The relations arise in the first and third author’s work on (singular) Soergel bimodules.