JournalsqtVol. 4, No. 1pp. 91–124

Traces on ideals in pivotal categories

  • Nathan Geer

    Utah State University, Logan, USA
  • Bertrand Patureau-Mirand

    Université de Bretagne-Sud, Vannes, France
  • Alexis Virelizier

    Université de Montpellier II, France
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Abstract

We construct invariants of C\mathcal{C}-colored spherical graphs from traces on ideals in a pivotal category C\mathcal{C}. Then we provide a systematic approach to defining such traces from ambidextrous and spherical traces on a class of objects of C\mathcal{C}. This extends the notion of an ambidextrous object of a braided category given by the first two authors in a previous work.

Cite this article

Nathan Geer, Bertrand Patureau-Mirand, Alexis Virelizier, Traces on ideals in pivotal categories. Quantum Topol. 4 (2013), no. 1, pp. 91–124

DOI 10.4171/QT/36