Traces on ideals in pivotal categories

By Nathan Geer, Bertrand Patureau-Mirand, Alexis Virelizier. 2011

61 citations recorded by the source corpus.

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).

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cdb045136cb3f5ecb21c768114916187a884caa7

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In Algebra and Number Theory

1. Jonathan R. Kujawa
2. Nathan Geer
3. Bertrand Patureau-Mirand

In Geometry and Topology

1. Nathan Geer
2. Bertrand Patureau-Mirand
3. Jonathan R. Kujawa
4. Alexis Virelizier

In Mathematical Physics

1. Nathan Geer
2. Bertrand Patureau-Mirand
3. Jonathan R. Kujawa

Citations in the corpus

• Ambidextrous objects and trace functions for nonsemisimple categories (2011, methodology): “Most recently, in [19] and [24] this approach is used to understand and generalize the “state sum” invariants of 3-manifolds introduced by Turaev-Viro and Kashaev.”