Faithful covers of Khovanov arc algebras

2024/11/24 by Bowman, Chris, De Visscher, Maud, Dell'Arciprete, Alice +3
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2411.15788

Abstract

We show that the extended Khovanov algebra K^m_n is an (|n-m|-1)-faithful cover of the Khovanov arc algebra H^m_n.

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• Odd Khovanov's arc algebra
• Odd Khovanov homology for tangles
• An oddification of Khovanov's arc algebras
• Chen-Khovanov spectra for tangles
• Pseudoholomorphic quilts and Khovanov homology