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math.QA2026
Defects in skein theory and TQFT
Patrick Kinnear, Ingo Runkel
Given a 3-manifold with a network of line and point defects in its boundary, we define the skein module of this configuration, generalizing the well-studied case of 3-manifolds…
math.QA2025
Non-semisimple CFT/TFT correspondence I: General setup
Aaron Hofer, Ingo Runkel
We extend the TFT construction of CFT correlators of [arXiv:hep-th/0204148] to so-called finite logarithmic CFTs for which the algebraic input data is no longer semisimple but stil…
math.QA2025
Generalised Orbifolds and G-equivariantisation
Sebastian Heinrich, Julia Plavnik, Ingo Runkel +1
In a construction motivated by topological field theory, a so-called orbifold datum in a ribbon category allows one to define a new ribbon category $C_{\mathbb{A}}…