117 citations · 626 across the 43 of their papers we have counts for
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math.GT2010★ 23 cited
Topological invariants from non-restricted quantum groups
Nathan Geer, Bertrand Patureau-Mirand
We introduce the notion of a relative spherical category. We prove that such a category gives rise to the generalized Kashaev and Turaev-Viro-type 3-manifold invariants defined in…
math.GT2010
Tetrahedral forms in monoidal categories and 3-manifold invariants
Nathan Geer, Rinat Kashaev, Vladimir Turaev
We introduce systems of objects and operators in linear monoidal categories called -systems. A -system satisfying several additional assumptions gives rise to a top…
math.RT2010★ 5 cited
Generalized trace and modified dimension functions on ribbon categories
Nathan Geer, Jonathan Kujawa, Bertrand Patureau-Mirand
In this paper we use topological techniques to construct generalized trace and modified dimension functions on ideals in certain ribbon categories. Examples of such ribbon categori…