A functorial extension of the abelian Reidemeister torsions of three-manifolds

Vincent Florens, Gwenael Massuyeau

Let $\mathbb{F}$ be a field and let $G\subset \mathbb{F}\setminus \{0\}$ be a multiplicative subgroup. We consider the category ${\mathcal{C}ob}_G$ of $3$-dimensional cobordisms equi…