have added more references, with brief comments, to the entry *Turaev-Viro model*

1. As the Reshetikhin-Turaev vector space, based on the modular category Z(A) : has basis given by loops labelled by the simple objects in Z(A) running around the holes in Sigma.

2. As the TV vector space: triangulate Sigma, and sum over all tensor products of labellings of the edges by simple objects in A. There is a canonical projector on this space; the image of this projector is the TV vector space.

3. As the Levin-Wen ground state space of a Hamiltonian operator operating on a triangulation of Sigma, based on the 6j symbols of A.

4. As the Kitaev-Kirillov-Levin-Wen string-net space of linear combinations of string diagrams drawn on Sigma up to local moves of string diagrams.

The string-net space (number 4) is the most intriguing to me. ]]>

brief entry on *Turaev-Viro model*, an entry long overdue. But for the moment it just records some references.

Bruce Bartlett has a comment on what is currently the last of these references and he will post it below in a momentâ€¦

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