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M-traces in (non-unimodular) pivotal categories

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arxiv 1809.00499 v2 pith:ARJG3BRE submitted 2018-09-03 math.RT math.CTmath.QA

Nathan Geer , Jonathan Kujawa , Bertrand Patureau-Mirand This is my paper · ORCID
classification math.RTmath.CTmath.QA
keywords categoriesm-tracesnon-unimodularpivotalcategoryconditionsexistencegeneralize
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We generalize the notion of a modified trace (or m-trace) to the setting of non-unimodular categories. M-traces are known to play an important role in low-dimensional topology and representation theory, as well as in studying the category itself. Under mild conditions we give existence and uniqueness results for m-traces in pivotal categories.

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Cited by 1 Pith paper

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  1. Non-semisimple open-closed 3d TFT

    math.QA 2026-08 accept novelty 7.0 of 10

    A spherical finite tensor category with a modified trace gives a finite-dimensional open-closed 3d TFT via a new handlebody invariant and the universal construction.

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