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Constructing categorical idempotents

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arxiv 2002.08905 v2 pith:WMRVJ3P7 submitted 2020-02-20 math.AT math.QA

Matthew Hogancamp This is my paper · ORCID
classification math.ATmath.QA
keywords categoricalcategorifiedconstructionidempotentsadditivecasescategoriescell
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We give a general construction of categorical idempotents which recovers the categorified Jones-Wenzl projectors, categorified Young symmetrizers, and other constructions as special cases. The construction is intimately tied to cell theory in the sense of additive monoidal categories.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stable deformed $\mathfrak{gl}_N$ homology of torus knots

    math.GT 2025-06 accept novelty 7.0 of 10

    The authors compute the E2 page of the Rasmussen spectral sequence for stable gl_N Khovanov-Rozansky homology of torus knots, verifying the predicted algebraic description for all N.

  2. Envelopes and the bar complex

    math.CT 2024-12 conditional novelty 4.0 of 10

    A reference-style paper that writes down explicit sign rules and bar-complex comparisons for the envelope operations S, A, and Pretr on dg categories, and proves derived Morita equivalence between a category and its e...

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