Skein theory and Turaev-Viro invariants
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For a closed three-manifold M, the Turaev-Viro amplitude, interpreted as a partition function, is equal to the absolute square of the partition function of an SU(2) Chern-Simons theory with coupling constant k.
“For a closed three-manifold M, the Turaev-Viro amplitude — now interpreted as a partition function — is equal to the absolute square of the partition function of an SU(2) Chern-Simons theory with coupling constant k [228, 260, 233],”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [233]
The Introduction states that the Turaev–Viro invariant equals the squared modulus of the Reshetikhin–Turaev invariant, and §3.4 gives a proof in the paper’s skein-theoretic formulation. The copy identifies the SU(2) case but does not explicitly identify that invariant as a Chern–Simons partition function with coupling constant k; that part of the attributed claim is not established by the copy. (LLM, conf=0.84)
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Research works printed but not linked: 22
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- Authors
- Roberts, J.
- Affiliations
- University of California, Berkeley (US)
- Corresponding author
- Roberts, Justin
- Venue
- Topology
- Publisher
- Elsevier BV
- Published
- 1995-10
- Volume
- 34
- Issue
- 4
- Pages
- 771-787
- ISSN
- 0040-9383 (ISSN-L)
- OpenAlex
- W2106021864
- Cited by
- 190
- References
- 0
- Citations by year
- 2026: 1 · 2025: 7 · 2024: 1 · 2023: 52 · 2022: 4 · 2021: 4 · 2020: 2 · 2019: 9 · 2018: 3 · 2017: 5 · 2016: 4 · 2015: 5 · 2014: 5 · 2013: 2 · 2012: 3
- FWCI
- 10.35
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Topology (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Homotopy and Cohomology in Algebraic Topology
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- skein theory, Turaev-Viro invariants, quantum invariants of 3-manifolds, knot theory, 3-manifold invariants
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