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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.

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SL2PO-180808@.pdf   SL2PO.pdf   SL2POTagged.pdf   /   recycling.txt  

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	Notebook (.pdf)	Source (.nb)	Created	Last Modified	Summary
1	index	source	2024-03-17 10:29:17	2018-07-02 07:51:41	This is the index file for the SL2PO project.

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abstract.tex   dbnsymb.600pk   dbnsymb.mf   dbnsymb.sty   dbnsymb.tfm   defs.tex   .htaccess   intro.tex   macros.tex   main.tex   makefile   meta.tex   .meta.tex.swp   new_aux   odds.tex   old_aux   recycling.tex   refs.tex   SL2PO.aux   SL2PO.brf   SL2POTagged.aux   SL2POTagged.brf   SL2PO.tex   SL2PO.zip  

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