Threading a link by a polynomial: Difference between revisions
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Sam.panitch (talk | contribs) No edit summary Tag: Manual revert |
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<!--$$Expand[ |
<!--$$Expand[CableLink[hopfLink, |
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R[Subscript[z, 1], 1]*cheb[2, Subscript[z, 2]], {1, 3}, {Subscript[ |
R[Subscript[z, 1], 1]*cheb[2, Subscript[z, 2]], {1, 3}, {Subscript[ |
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z, 1], Subscript[z, 2]}] /. {A -> a^(1/2)}] // |
z, 1], Subscript[z, 2]}] /. {A -> a^(1/2)}] // |
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R[Subscript[z, 1], 2]*cheb[4, Subscript[z, 2]], {1, 3}, {Subscript[ |
R[Subscript[z, 1], 2]*cheb[4, Subscript[z, 2]], {1, 3}, {Subscript[ |
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z, 1], Subscript[z, 2]}] /. {A -> a^(1/2)}] |
z, 1], Subscript[z, 2]}] /. {A -> a^(1/2)}] |
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Revision as of 17:29, 5 August 2025
CableLink[link,poly,strandList,vars], whose code is available here, computes the Kauffman bracket of link (given as a PD) with components L1,L2,...,Ln, cabled by the polynomial poly in the variables z1,z2,...,zn. strandList is a list of strand labels of length n, where the ith element is the first strand label corresponding to component Li.
As an example, we can verify some formulas from Mausbaum:
