117 citations · 499 across the 33 of their papers we have counts for
5 papers · 1 filter
Some remarks on relative modular categories
Nathan Geer, Bertrand Patureau-Mirand, Matthew Rupert
We study properties of relative modular categories and derive sufficient conditions for their existence. In particular, we derive sufficient conditions for relative pre-modular cat…
M-traces in (non-unimodular) pivotal categories
Nathan Geer, Jonathan Kujawa, Bertrand Patureau-Mirand
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…
Ambidextrous objects and trace functions for nonsemisimple categories
Nathan Geer, Jonathan Kujawa, Bertrand Patureau-Mirand
We provide a necessary and sufficient condition for a simple object in a pivotal k-category to be ambidextrous. In turn, these objects imply the existence of nontrivial trace funct…
Generalized trace and modified dimension functions on ribbon categories
Nathan Geer, Jonathan Kujawa, Bertrand Patureau-Mirand
In this paper we use topological techniques to construct generalized trace and modified dimension functions on ideals in certain ribbon categories. Examples of such ribbon categori…
An invariant supertrace for the category of representations of Lie superalgebras
Nathan Geer, Bertrand Patureau-Mirand
In this paper we give a re-normalization of the supertrace on the category of representations of Lie superalgebras of type I, by a kind of modified superdimension. The genuine supe…