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This is the construction / computation page for my joint paper with Roland van der Veen, Poly-Time Knot Polynomials Via Solvable Approximations (PDF here).

Abstract. Following Rozansky [Ro1, Ro2, Ro3] and Overbay [Ov], we construct the first poly-time-computable knot polynomials since Alexander's [Al, 1928]. We use some new commutator-calculus techniques and a family of Lie algebra $sl_2^{\leq k}$ which are solvable yet at the same time they make progressively better approximations of the simple Lie algebra $sl_2$. The resulting invariants are the strongest genuinely-computable knot invariants presently available and they seem to contain information about some classical topologically-defined knot invariants.

Quick Links. Ov.

<< Subfolders / Shortcuts >>  
Archive   figs   PPSA-170103   Snips   VSnips   /   People: VanDerVeen  

<< PDF / TXT >>  
CS-PPSA.pdf   PPSA.pdf   PPSATagged.pdf   /   recycling.txt  

<< Notebook Pages >>

 PageCreated (UT)Last Modified (UT)
1 Planning 170624 2017-06-24 14:21:50 2017-06-24 16:03:41
(.one source file for all pages above)

<< Mathematica Notebooks >>

 Notebook (.pdf)Source (.nb)CreatedLast ModifiedSummary
1 CellExport source 2017-07-06 10:09:00 2017-12-19 15:59:49 A program for exporting tagged cells, continues pensieve://Projects/WKO4/.
2 index source 2016-09-17 11:43:49 2017-12-19 15:22:20 This is the index file for the PPSA project.
3 MakeSnips source 2017-12-19 14:58:01 2017-12-19 16:24:07 Make the snip files in Snips/.
4 MakeVSnips source 2017-12-19 16:23:13 2018-02-11 08:43:20 Make the snip files in VSnips/.
5 ReorderingDemo-170704 source 2017-07-04 12:59:31 2017-07-05 11:00:09  
6 ReorderingDemo source 2017-07-05 10:24:38 2017-12-19 15:18:46 Reordering exponentials in $sl_2$ and in ${\mathfrak g}_0$.
7 Verification source 2018-02-10 12:55:53 2018-02-11 12:03:27 A unified verification notebook for the PPSA project; continued pensieve://Projects/SL2Portfolio/.

<< Links >>

  1. Studied 2017-06-28 14:44:15: [1004.1214v1] Kauffman, Radford- Oriented Quantum Algebras and Coalgebras, Invariants of Oriented 1-1 Tangles, Knots and Links.
  2. Studied 2017-06-28 14:44:44: [math0505219] Habiro- Bottom tangles and universal invariants.
  3. Studied 2017-12-18 08:35:15: Automatically execute command after save - Mathematica Stack Exchange.

<< Images >>


WordCloud.png

<< Other Files >>

abstract.tex   CellExport.m   CS-PPSA.aux   CS-PPSA.synctex   CS-PPSA.tex   dbnsymb.56pk   dbnsymb.600pk   dbnsymb.mf   dbnsymb.sty   dbnsymb.tfm   defs.tex   .htaccess   intro.tex   macros.tex   main.tex   makefile   MakeSnips.m   MakeVSnips.m   new_aux   odds.tex   old_aux   picins.sty   PPSA.aux   PPSA.brf   PPSATagged.aux   PPSATagged.brf   PPSA.tex   PPSA.zip   recycling.tex   refs.tex   ReorderingDemo.m   spellcheck.csh   Verification.m  


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[1004.1214v1] Kauffman, Radford- Oriented Quantum Algebras and Coalgebras, Invariants of Oriented 1-1 Tangles, Knots and Links.URL   abstract.tex   Automatically execute command after save - Mathematica Stack Exchange.url   CellExport.m   CellExport.nb   CS-PPSA.aux   CS-PPSA.pdf   CS-PPSA.synctex   CS-PPSA.tex   dbnsymb.56pk   dbnsymb.600pk   dbnsymb.mf   dbnsymb.sty   dbnsymb.tfm   defs.tex   .htaccess   index.html   index.m   index.nb   intro.tex   macros.tex   main.tex   makefile   MakeSnips.m   MakeSnips.nb   MakeVSnips.m   MakeVSnips.nb   [math0505219] Habiro- Bottom tangles and universal invariants.URL   new_aux   odds.tex   old_aux   picins.sty   PPSA.aux   PPSA.brf   PPSA.pdf   PPSATagged.aux   PPSATagged.brf   PPSATagged.pdf   PPSA.tex   PPSA.zip   recycling.tex   recycling.txt   refs.tex   ReorderingDemo-170704.nb   ReorderingDemo.m   ReorderingDemo.nb   spellcheck.csh   VanDerVeen - Shortcut.lnk   Verification.m   Verification.nb   WordCloud.png