A reciprocity formula from abelian BF and Turaev-Viro theories

P. Mathieu, F. Thuillier

In this article we show that the use of Deligne-Beilinson cohomology in the context of the $U(1)$ BF theory on a closed 3-manifold $M$ yields a discrete ${\mathbb{Z}}_N$ BF theory whose part…