This is the construction / computation page for my joint paper with Roland van der Veen, Implementing the Quantum $sl_2$ Portfolio of Operationss (PDF here).
Abstract. Building up from some new or lightly used theoretical tools, especially "solvable approximation" and "Gaussian differential operators", we give a clean and efficient computer implementation of the quantum $sl_2$ portfolio of operations. Beyond the theoretical interest and the satisfaction that one obtains when complicated formulas come to life, become specific, and check, we explain (and implement and prove) why our results are valuable in knot theory.
We mean business! Page ?? displays a program which is a complete implementation of the quantum $sl_2$ portfolio of operations. Page ?? displays a variant of that program tailored to efficiently compute the "Rozansky-Overbay" invariants. Appendix ?? contains a tabulation of some of these invariants on knots with up to 10 crossings. Much more is on this page.
Quick Links. Ov.
Archive figs / Projects: PPSA SL2PO-180808@.pdf SL2PO.pdf SL2POTagged.pdf / recycling.txt| Notebook (.pdf) | Source (.nb) | Created | Last Modified | Summary | |
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| 1 | index | source | Sun 17 Mar 2024 10:29:17 | Mon 2 Jul 2018 07:51:41 | This is the index file for the SL2PO project. |
