Quantum Relatives of Alexander Polynomial

Details Quantum Relatives of Alexander Polynomial Quantum Relatives of Alexander Polynomial

2002-04-24

arxiv.org/abs/math/0204290v1

Mathematics

Geometric Topology

72 pages

Scientific paper

The multivariable Conway function is generalized to oriented framed trivalent
graphs equipped with additional structure (coloring). This is done via
refinements of Reshetikhin-Turaev functors based on irreducible representations
of quantized gl(1|1) and sl(2). The corresponding face state sum models for the
generalized Conway function are presented.

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