English

String-net model of Turaev-Viro invariants

Algebraic Topology 2011-06-30 v1 Quantum Algebra

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.

Cite

@article{arxiv.1106.6033,
  title  = {String-net model of Turaev-Viro invariants},
  author = {Alexander Kirillov},
  journal= {arXiv preprint arXiv:1106.6033},
  year   = {2011}
}

Comments

27 pages, LaTeX with TikZ pictures

R2 v1 2026-06-21T18:29:23.801Z