… known example of such a category is a category of representations of a … of tensor categories
which are called modular tensor categories (MTC); these are semisimple tensor categories …

… the interpretation of its category of modules as a modular tensor category. Overarching these
pillars is … of a log-modular tensor category is expected to be a modular tensor category. This …

… modular functor, using Kirby calculus; see [Tu] for this approach. In fact, it is known that in
any modular tensor category … on the appropriate space of conformal blocks: this automatically …

… “modular tensor category” (discussed in refs. 4 and 5) by I. Frenkel, of the classical notion of
tensor category for representations of (modules … and modular tensor category structure, and, …

… Hopf algebras internal to finite tensor categories allow for a generalization of the notion of
modular tensor category that encompasses also non-semisimple categories. In this report we …

… of all vector bundles of conformal blocks on the moduli stack Mg,n … We use the factorization
rules on conformal blocks to … generic curve is generated by conformal blocks of levels 1 and 2 …

… of tensor categories that arise in 2dimensional conformal and 3-… construction to the modular
tensor category arising from the … a modular invariant inner product on the space of conformal …

… assume that our category is a fusion category: a rigid… tensor category with compatible
pivotal and braiding structures is called ribbon. In our case a ribbon category is always pre-modular …

… conformal blocks on the curve (C, p). It follows that the Cox ring of MC, p(G) is the sum of all
spaces of conformal blocks … bounds on the levels of conformal blocks needed to present the …

… of all vector bundles of conformal blocks on the moduli stack Mg,n … We use the factorization
rules on conformal blocks to … generic curve is generated by conformal blocks of levels 1 and 2 …