2025/07/23 by Mikhail Khovanov, Khovanov, Mikhail, Dmitry Solovyev +1
Mathematics · #05C15 #18N25 #57K16 #57M15 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2507.17119
openalex publication_date 2025/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
These notes are based on the three lectures that one of the authors gave at Tsinghua University in the summer of 2023 as part of the workshop on Geometric Representation Theory and Applications. They contain an introduction to the evaluation of SL(3) foams and the associated topological theory of trivalent planar graphs and foam cobordisms between them. A categorification of the Kuperberg quantum \mathfraksl3 web and link invariant and the Robert-Wagner SL(N) foam evaluation are reviewed as well.