Categorified Jones-Wenzl Projectors: a comparison
Catharina Stroppel, Joshua Sussan
TL;DR
This paper compares two different categorifications of the Jones-Wenzl projector, one Lie theoretic and one topological, clarifying their relationship and differences.
Contribution
It explicitly describes the relationship between the Lie theoretic and topological categorifications of the Jones-Wenzl projector.
Findings
Established a clear correspondence between the two categorifications.
Highlighted key differences and similarities in their structures.
Provided insights into the interplay between algebraic and topological approaches.
Abstract
We explicitly describe a relationship between the Lie theoretic and topological categorification of the Jones-Wenzl projector The two categorifications appear in arXiv:1007.4680 and arXiv:1005.5117 respectively.
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