3 papers
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.QA2023
Hopf crossed module (co)algebras
Kursat Sozer, Alexis Virelizier
Given a crossed module , we introduce Hopf -(co)algebras which generalize Hopf algebras and Hopf group-(co)algebras. We interpret them as Hopf algebras in some symmetric mono…