Regional knot invariants
2017 ◽
Vol 26
(06)
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pp. 1742006
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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 called 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 derived from the matrix just like the Alexander polynomial case.
2007 ◽
Vol 16
(04)
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pp. 439-460
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1996 ◽
Vol 142
◽
pp. 39-65
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2007 ◽
Vol 59
(2)
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pp. 418-448
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2003 ◽
Vol 12
(06)
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pp. 805-817
1999 ◽
Vol 08
(02)
◽
pp. 253-259
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2016 ◽
Vol 25
(03)
◽
pp. 1640012
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2000 ◽
Vol 09
(03)
◽
pp. 413-422
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