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Traces on ideals in pivotal categories

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arxiv 1103.1660 v2 pith:3LUG22OS submitted 2011-03-08 math.QA math.GT

Nathan Geer , Bertrand Patureau-Mirand , Alexis Virelizier This is my paper · ORCID
classification math.QAmath.GT
keywords pivotaltracesambidextrousauthorscategoriescategorycoloredconditions
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We extend the notion of an ambidextrous trace on an ideal (developed by the first two authors) to the setting of a pivotal category. We show that under some conditions, these traces lead to invariants of colored spherical graphs (and so to modified 6j-symbols).

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  1. Parabolic skein modules

    math.QA 2025-05 conditional novelty 7.0 of 10

    Parabolic defect skein theory yields a new, triangulation-based definition and computation of the quantum A-ideal of knots, matching known classical limits.

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