Invariants of flat connections on 4-manifolds from Hopf group-algebras
Abstract
For a given group G, we construct an invariant of flat G-connections on 4-manifolds from a finite-type involutory quasitriangular Hopf G-algebra. Hopf G-algebras are generalizations of Hopf algebras, equipped with gradings by G. In our construction, we color the dotted components of a Kirby diagram with elements of G and employ the Hennings-type procedure. When G is finite, we also define an invariant of 4-manifolds by summing the invariants over all flat G-connections.
Fields of Study & Subjects
Geometric and Algebraic Topology
Topological and Geometric Data Analysis
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of Knot Theory and Its Ramifications
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 35
- Issue
- 09
- Publication date
- 29 January 2026
- Language
- EN