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Kuperberg and Turaev-Viro Invariants in Unimodular Categories
Published 21 Sep 2018 in math.QA and math.GT | (1809.07991v2)
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 semi-simple and spherical.
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