Non-semisimple 3-manifold invariants derived from the Kauffman bracket
Marco De Renzi
University of Zurich, Germany; Waseda University, Tokyo, JapanJun Murakami
Waseda University, Tokyo, Japan
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Abstract
We recover the family of non-semisimple quantum invariants of closed oriented 3-manifolds associated with the small quantum group of using purely combinatorial methods 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.
Cite this article
Marco De Renzi, Jun Murakami, Non-semisimple 3-manifold invariants derived from the Kauffman bracket. Quantum Topol. 13 (2022), no. 2, pp. 255–333
DOI 10.4171/QT/164