On cubes of Frobenius extensions

  • Ben Elias

    University of Oregon, Eugene, USA
  • Noah Snyder

    Indiana University, Bloomington, United States
  • Geordie Williamson

    Max-Planck-Institut für Mathematik, Bonn, Germany
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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.