Kuperberg and Turaev-Viro Invariants in Unimodular Categories
Document Type
Article
Journal/Book Title/Conference
Pacific Journal of Mathematics
Volume
306
Issue
2
Publisher
Mathematical Sciences Publishers
Publication Date
7-13-2020
Award Number
NSF, Division of Mathematical Sciences 1664387
Funder
NSF, Division of Mathematical Sciences
First Page
421
Last Page
450
Abstract
We give a categorical setting in which Penrose graphical calculus naturally extends to graphs drawn on the boundary of a handlebody. We use it to introduce invariants of 3-manifolds presented by Heegaard splittings. We recover Kuperberg invariants when the category comes from an involutory Hopf algebra and Turaev–Viro invariants when the category is semisimple and spherical.
Recommended Citation
Costantino, Francesco, et al. (2020). “Kuperberg and Turaev–Viro Invariants Inunimodular Categories.” Pacific Journal of Mathematics, vol. 306, no. 2, pp. 421–50. https://doi.org/10.2140/pjm.2020.306.421
