@article{0e69e6133c364dd9a91b4d144ce43593,
title = "Non-semisimple 3-manifold invariants derived from the Kauffman bracket",
abstract = "We recover the family of non-semisimple quantum invariants of closed oriented 3-manifolds associated with the small quantum group of sl2 using purely combinatorial meth-ods based on Temperley–Lieb algebras and Kauffman bracket polynomials. These invariants can be understood as a first-order extension of Witten–Reshetikhin–Turaev invariants, which can be reformulated following our approach in the case of rational homology spheres.",
keywords = "Kauffman bracket, Quantum invariants, Temperley–Lieb algebras, quantum groups",
author = "{De Renzi}, Marco and Jun Murakami",
note = "Funding Information: Funding. This work was supported by KAKENHI Grant-in-Aid for JSPS Fellows 19F19765. Publisher Copyright: {\textcopyright} 2022, European Mathematical Society Publishing House. All rights reserved.",
year = "2022",
doi = "10.4171/QT/164",
language = "English",
volume = "13",
pages = "255--333",
journal = "Quantum Topology",
issn = "1663-487X",
publisher = "European Mathematical Society Publishing House",
number = "2",
}