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


We construct invariants of -colored spherical graphs from traces on ideals in a pivotal category . Then we provide a systematic approach to defining such traces from ambidextrous and spherical traces on a class of objects of . 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