A foamy approach to Soergel bimodules
Mikhail Khovanov, Louis-Hadrien Robert, Emmanuel Wagner
TL;DR
This paper establishes a 2-equivalence between a 2-category of foams and singular Soergel bimodules of type A, providing a new categorical perspective on these algebraic structures.
Contribution
It introduces a novel 2-categorical equivalence linking foams and singular Soergel bimodules, enriching the understanding of their relationship.
Findings
Proves a 2-equivalence between foam categories and singular Soergel bimodules.
Provides a new categorical framework for studying type A bimodules.
Bridges geometric and algebraic approaches in representation theory.
Abstract
The aim of this short note is to establish a 2-equivalence between a certain 2-category of foams and that of singular Soergel bimodules of type A.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research