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math.QA2024
A manifestly Morita-invariant construction of Turaev-Viro invariants
Jürgen Fuchs, César Galindo, David Jaklitsch +1
We present a state sum construction that assigns a scalar to a skeleton in a closed oriented three-dimensional manifold. The input datum is the pivotal bicategory $\mathbf{Mod}^{\m…
math.QA2024
A Graded Schur Lemma and a graded-monoidal structure for induced modules over graded-commutative algebras
Jürgen Fuchs, Tobias Grøsfjeld
We consider algebras and Frobenius algebras, internal to a monoidal category, that are graded over a finite abelian group. For the case that A is a twisted group algebra in a linea…