A note on general linear link homology

2025/04/29 by Wedrich, Paul
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2504.20745

Abstract

This expository note outlines why it is sometimes useful to consider the bigraded type A link homology theories as associated with the Lie algebras gl(N) instead of sl(N).

Citations

• Khovanov's homology for tangles and cobordisms
• Matrix factorizations and link homology
• An invariant of tangle cobordisms
• Spiders for rank 2 Lie algebras

Related

• Annular Evaluation and Link Homology
• Link homology and Frobenius extensions II
• Notes on link homology
• Knot homology via derived categories of coherent sheaves IV, coloured links
• Link Homology from Homological Mirror Symmetry