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PatureauMirand  Non semisimple TQFTs, Reidemeister torsion and Kashaev’s invariants,arXiv:1404.7289
"... Abstract. We construct and study a new family of TQFTs based on nilpotent highest weight representations of quantum sl(2) at a root of unity indexed by generic complex numbers. This extends to cobordisms the nonsemisimple invariants defined in [12] including the Kashaev invariant of links. Here th ..."
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Abstract. We construct and study a new family of TQFTs based on nilpotent highest weight representations of quantum sl(2) at a root of unity indexed by generic complex numbers. This extends to cobordisms the nonsemisimple invariants defined in [12] including the Kashaev invariant of links. Here the modular category framework does not apply and we use the “universal construction”. Our TQFT provides a monoidal
The generalized KacWakimoto conjecture and support varieties for the Lie superalgebra osp(m2n), arXiv eprints
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Quantum Topology x (201x), xxx–xxx Quantum Topology c © European Mathematical Society
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GLINKS INVARIANTS, MARKOV TRACES AND THE SEMICYCLIC Uqsl(2)MODULES.
"... Abstract. Kashaev and Reshetikhin proposed a generalization of the ReshetikhinTuraev link invariant construction to tangles with a flat connection in a principal Gbundle of the complement of the tangle. The purpose of this paper is to adapt and renormalize their construction to define invariants ..."
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Abstract. Kashaev and Reshetikhin proposed a generalization of the ReshetikhinTuraev link invariant construction to tangles with a flat connection in a principal Gbundle of the complement of the tangle. The purpose of this paper is to adapt and renormalize their construction to define invariants of Glinks using the semicyclic representations of the nonrestricted quantum group associated to sl(2), defined by De Concini and Kac. Our construction uses a modified Markov trace. In our main example, the semicyclic invariants are a natural extension of the generalized Alexander polynomial invariants defined by Akutsu, Deguchi, and Ohtsuki. Surprisingly, direct computations suggest that these invariants are actually equal. 1.