Traces on ideals in pivotal categories

Traces on ideals in pivotal categories

We construct invariants of $\mathcal{C}$-colored spherical graphs from traces on ideals in a pivotal category $\mathcal{C}$. Then we provide a systematic approach to defining such traces from ambidextrous and spherical traces on a class of objects of $\mathcal{C}$. This extends the notion of an ambi...

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Veröffentlicht in:Quantum topology 2013-01, Vol.4 (1), p.91-124
Hauptverfasser: Geer, Nathan, Patureau-Mirand, Bertrand, Virelizier, Alexis
Format: Artikel
Sprache:eng
Schlagworte:
Associative rings and algebras
Category theory
Geometric Topology
homological algebra
Mathematics
Quantum Algebra
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Zusammenfassung:We construct invariants of $\mathcal{C}$-colored spherical graphs from traces on ideals in a pivotal category $\mathcal{C}$. Then we provide a systematic approach to defining such traces from ambidextrous and spherical traces on a class of objects of $\mathcal{C}$. This extends the notion of an ambidextrous object of a braided category given by the first two authors in a previous work.
ISSN:1663-487X
1664-073X
DOI:10.4171/QT/36