Multivariable Invariants of Colored Links Generalizing the Alexander Polynomial

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dc.creatorDeguchi, Tetsuo
dc.date1993-09-06
dc.date.accessioned2026-07-07T09:14:07Z
dc.date.available2026-07-07T09:14:07Z
dc.descriptionWe discuss multivariable invariants of colored links associated with the $N$-dimensional root of unity representation of the quantum group. The invariants for $N>2$ are generalizations of the multi-variable Alexander polynomial. The invariants vanish for disconnected links. We review the definition of the invariants through (1,1)-tangles. When $(N,3)=1$ and $N$ is odd, the invariant does not vanish for the parallel link (cable) of the knot $3_1$, while the Alexander polynomial vanishes for the cable link.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9309029
dc.identifierhttp://arxiv.org/abs/hep-th/9309029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152559
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleMultivariable Invariants of Colored Links Generalizing the Alexander Polynomial
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