… Our main theorems on the Verlinde conjecture, on the Verlinde formula for the … Verlinde
conjecture is given in this section. In section 3 our main theorem on the modular tensor category …

… the Verlinde conjecture and modular tensor category structure, … ) proof of the Verlinde
conjecture in a very general form, … of a previously constructed tensor category. This work, along …

… tensor category, V ∗ denote the dual of an object V , M denote the Deligne tensor product of
two symmetric tensor categories… Then, we conjecture that any irreducible representation of G …

… will include definitions of symmetric tensor categories and the formal construction of the
Verlinde … In fact, for a while, it was conjectured that the above theorem held for C any symmetric …

… tensor category structure, Huang solved the two major important problems we have mentioned
above: determination of the modularity of these categories and the Verlinde conjecture. …

… Overarching these pillars is the Verlinde formula. In this paper we … conjecture 3.3, the
semi-simplification of a log-modular tensor category is expected to be a modular tensor category…

… The results of the present paper have been used in [20] to prove the rigidity and modularity
of the tensor category of modules for a vertex operator algebra satisfying the conditions …

… We focus on generalizations of the Verlinde formula, for which … presence of a Hopf algebra
internal to finite tensor categories. … Namely, the (conjectured) tensor product of any two simple …

… three-manifold invariants, ChernSimons theory, the Verlinde formula, etc. (see for … conjectured
in [FLM2] and proved in [Do]. It was also conjectured in [FLM2] (and it remains a conjecture…

… tensor category structures on module categories for affine Lie algebras. We discuss the results
that were first conjectured in … But it was the Verlinde formula and modular tensor category …