The cabling formula for GM series
The cabling formula for GM series
Let be a knot with a well-defined GM series, and let denote its -cabling with . Cabling Formula. The cabling formula above holds for any knot with a well-defined GM series, so long as the right-hand side converges. The source proves the formula for plumbed knots and conjectures its extension to arbitrary knots; convergence remains required.
Sources & referencesView supporting material
Primary source
Pedro Guicardi and Mrunmay Jagadale, “Z-TQFT, Surgery Formulas, and New Algebras”, arXiv:2509.14311 (2025).
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