M-traces in (non-unimodular) pivotal categories
Nathan Geer, Jonathan Kujawa, Bertrand Patureau-Mirand
TL;DR
This paper extends the concept of modified traces to non-unimodular pivotal categories, providing foundational existence and uniqueness results that enhance their application in topology and representation theory.
Contribution
It introduces a generalized framework for m-traces in non-unimodular categories, broadening their theoretical foundation and potential applications.
Findings
Existence of m-traces under mild conditions
Uniqueness of m-traces in pivotal categories
Enhanced understanding of m-traces in non-unimodular settings
Abstract
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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