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math.QA2025
Categorical 4-manifold invariants from trisection diagrams
Catherine Meusburger, Vincentas Mulevicius, Fiona Torzewska
We use Gay and Kirby's description of 4-manifolds in terms of trisections and trisection diagrams to define a new 4-manifold invariant. The algebraic data are an indecomposable fin…
math.QA2024
A geometrical description of untwisted 3d Dijkgraaf-Witten TQFT with defects
João Faria Martins, Catherine Meusburger
We give a simple, geometric and explicit construction of 3d untwisted Dijkgraaf-Witten theory with defects of all codimensions. It is given as a symmetric monoidal functor from a d…