marchwicka/signature_function
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This project aims to calculate signature functions for knots (cable sums) and was used to prove Lemma 3.2 from a paper "On the slice genus of generalized algebraic knots" (Maria Marchwicka and Wojciech Politarczyk). This project allows calculating knot invariants for linear combinations of iterated torus knots.
The package can be used in interactive mode (see notebooks for examples). It was created as part of proof for the main lemma from a paper "On the slice genus of generalized algebraic knots" (Maria Marchwicka and Wojciech Politarczyk).
A knot (cable sum) is encoded as a list where each element (also a list) corresponds to a cable knot. To recreate calculations that were done for the proof see lemma.ipynb in notebooks.
For a more detailed description see package documentation.