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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|
|1||index||source||2018-06-25 19:00:05||2018-07-02 07:51:41||This is the index file for the SL2PO project.|
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