Kuperberg and Turaev-Viro Invariants in Unimodular Categories
Pacific Journal of Mathematics
Mathematical Sciences Publishers
NSF, Division of Mathematical Sciences 1664387
NSF, Division of Mathematical Sciences
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.
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