String-net model of Turaev-Viro invariants

Abstract

In this paper, we describe the relation between the Turaev--Viro TQFT and the string-net space introduced in the papers of Levin and Wen. In particular, the case of surfaces with boundary is considered in detail.

27 pages, LaTeX with TikZ pictures

References in corpus (2)

• Turaev-Viro invariants as an extended TQFT
• Counterexamples in Levin-Wen string-net models, group categories, and Turaev unimodality