Kursat Sozer

activity

20192026

most citedTwo-Dimensional Extended Homotopy Field Theories

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.AT2026

Braidings of Self-Equivalences and Bordism

Ian Hambleton, Kursat Sozer

Let $M$ be a closed, smooth or topological $n$ -manifold, with $n \geq 4$ . We construct a homotopy highly cartesian square relating the space $E (M (ℓ))$ of homotopy se…

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 $G$ , from an involutory Hopf algebra graded by $G$ . 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 $χ$ , we introduce Hopf $χ$ -(co)algebras which generalize Hopf algebras and Hopf group-(co)algebras. We interpret them as Hopf algebras in some symmetric mono…

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…