Tetrahedral forms in monoidal categories and 3-manifold invariants
Tetrahedral forms in monoidal categories and 3-manifold invariants
We introduce systems of objects and operators in linear monoidal categories called Ψ̂-systems. A Ψ̂-system satisfying several additional assumptions gives rise to a topological invariant of triples (a closed oriented 3-manifold M, a principal bundle over M, a link in M). This construction generalizes the quantum dilogarithmic invariant of links …