Modular functors are determined by their genus zero data

Details Modular functors are determined by their genus zero data Modular functors are determined by their genus zero data

2006-11-03

arxiv.org/abs/math/0611087v1

Mathematics

Quantum Algebra

Scientific paper

We prove in this paper that the genus zero data of a modular functor determines the modular functor. We do this by establishing that the S-matrix in genus one with one point labeled arbitrarily can be expressed in terms of the genus zero information and we give an explicit formula. We do not assume the modular functor in question has duality or is unitary, in order to establish this.

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