Regional knot invariants

Zhiqing Yang

doi:10.1142/s0218216517420068

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arXiv · 1703.05869

Regional knot invariants

Zhiqing Yang

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Abstract

In this paper, a regional knot invariant is constructed. Like the Wirtinger presentation of a knot group, each planar region contributes a generator, and each crossing contributes a relation. The invariant is call a tridle of the link. As in the quandle theory, one can define Alexander quandle and get Alexander polynomial from it. For link diagram, one can also define a linear tridle and its presentation matrix. A polynomial invariant can be derive from the matrix just like the Alexander polynomial case.

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Zhiqing Yang. 2017-03-17. Regional knot invariants. https://doi.org/10.1142/s0218216517420068

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