A meromorphic extension of the 3D index
A meromorphic extension of the 3D index
Using the locally compact abelian group $$\mathbb {T}\times \mathbb {Z}$$ , we assign a meromorphic function to each ideal triangulation of a 3-manifold with torus boundary components. The function is invariant under all 2–3 Pachner moves, and thus is a topological invariant of the underlying manifold. If the ideal triangulation …