3 papers
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…
gr-qc2008
Quantum double and -Poincaré symmetries in (2+1)-gravity and Chern-Simons theory
C. Meusburger
We review the role of Drinfeld doubles and kappa-Poincare symmetries in quantised (2+1)-gravity and Chern-Simons theory. We discuss the conditions under which a given Hopf algebra…