Outputs (2)

A generators and relations description of a representation category of Uq(gl(1|1)) (2016)
Journal Article
Grant, J. (2016). A generators and relations description of a representation category of Uq(gl(1|1)). Algebraic & geometric topology, 16(1), 509-539. https://doi.org/10.2140/agt.2016.16.509

We use the technique of quantum skew Howe duality to investigate the monoidal category generated by exterior powers of the standard representation of Uq(gl(1|1))Uq(gl(1|1)). This produces a complete diagrammatic description of the category in terms o... Read More about A generators and relations description of a representation category of Uq(gl(1|1)).

The moduli problem of Lobb and Zentner and the coloured sl(N) graph invariant (2013)
Journal Article
Grant, J. (2013). The moduli problem of Lobb and Zentner and the coloured sl(N) graph invariant. Journal of Knot Theory and Its Ramifications, 22(10), https://doi.org/10.1142/s0218216513500600

Motivated by a possible connection between the SU(N) instanton knot Floer homology of Kronheimer and Mrowka and sl(N) Khovanov-Rozansky homology, Lobb and Zentner recently introduced a moduli problem associated to colourings of trivalent graphs of th... Read More about The moduli problem of Lobb and Zentner and the coloured sl(N) graph invariant.