5 papers
Genus bounds for knot polynomials of Lie superalgebras
Stavros Garoufalidis, Daniel López Neumann
Knot polynomials colored by typical representations of Lie superalgebras of type I (except ) have two variables and , the latter corresponding to the co…
Non-semisimple quantum invariants of fibred links
Daniel López Neumann, Roland van der Veen
The Akutsu-Deguchi-Ohtsuki (ADO) invariants are the most studied quantum link invariants coming from a non-semisimple tensor category. We show that, for fibered links in , the…
Genus bounds for twisted quantum invariants
Daniel López Neumann, Roland van der Veen
By twisted quantum invariants we mean polynomial invariants of knots in the three-sphere endowed with a representation of the fundamental group into the automorphism group of a Hop…
Twisted Kuperberg invariants of knots and Reidemeister torsion via twisted Drinfeld doubles
Daniel López Neumann
In this paper, we consider the Reshetikhin-Turaev invariants of knots in the three-sphere obtained from a twisted Drinfeld double of a Hopf algebra, or equivalently, the relative D…
Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion
Daniel López Neumann
We study Kuperberg invariants for sutured manifolds in the case of a semidirect product of an involutory Hopf superalgebra with its automorphism group . These ar…