Anomaly-free TQFTs from the super Lie algebra 𝔰𝔩(2|1)

DOI10.1142/S0218216522500298zbMath1505.57024arXiv2001.10748OpenAlexW4280492132WikidataQ115245855 ScholiaQ115245855MaRDI QIDQ5089879

Ngoc Phu Ha

Publication date: 15 July 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10748

zbMATH Keywords

modified traceunrolled quantum groupinvariant of \(3\)-manifoldsrelative (pre)modular \(G\)-category

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Topological quantum field theories (aspects of differential topology) (57R56) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (1)

Relative (pre)-modular categories from special linear Lie superalgebras

Cites Work

• Unnamed Item
• Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants
• Multivariable link invariants arising from \(\mathfrak {sl}(2|1)\) and the Alexander polynomial
• An invariant supertrace for the category of representations of Lie superalgebras of type I
• Universal \(R\)-matrix for quantized (super)algebras
• Nonsemisimple quantum invariants and TQFTs from small and unrolled quantum groups
• Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories
• Modified quantum dimensions and re-normalized link invariants
• Centre and representations of at roots of unity
• Quantum invariants of knots and 3-manifolds

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