%0 Journal Article %T On the definition and K-theory realization of a modular functor %A Igor Kriz %A Luhang Lai %J Mathematics %D 2013 %I arXiv %X We present a definition of a (super)-modular functor which includes certain interesting cases that previous definitions do not allow. We also introduce a notion of topological twisting of a modular functor, and construct formally a realization by a 2-dimensional topological field theory valued in twisted K-modules. We discuss, among other things, the N=1-supersymmetric minimal models from the point of view of this formalism. %U http://arxiv.org/abs/1310.5174v2