Boltzmann enhancements of biquasile counting invariants
2018 ◽
Vol 27
(14)
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pp. 1850068
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In this paper, we build on the biquasiles and dual graph diagrams introduced in [7]. We introduce biquasile Boltzmann weights that enhance the previous knot coloring invariant defined in terms of finite biquasiles and provide examples differentiating links with the same counting invariant, demonstrating that the enhancement is proper. We identify conditions for a linear function [Formula: see text] to be a Boltzmann weight for an Alexander biquasile [Formula: see text].
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1981 ◽
Vol 46
(11)
◽
pp. 2640-2649
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1981 ◽
Vol 46
(6)
◽
pp. 1433-1438
1980 ◽
Vol 45
(6)
◽
pp. 1639-1645
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