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math.GT2026
Quantum invariants of flat 2-bundles over 3-manifolds
Kursat Sozer, Alexis Virelizier
We construct a scalar invariant of flat principal 2-bundles over 3-manifolds, with structure 2-group , from an involutory Hopf algebra graded by . Express…
math.GT2024
3d TQFTs and 3-manifold invariants
Kursat Sozer, Alexis Virelizier
This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We give an overview of 3-dimensional topological quantum field theories (TQFTs) and…
math.GT2019★ 1 cited
Two-Dimensional Extended Homotopy Field Theories
Kursat Sozer
We give another definition of two-dimensional extended homotopy field theories (E-HFTs) with aspherical targets and classify them. When the target of E-HFT is chosen to be a $K(G,1…