thesis.bib

@book{kauffman,
	author = {Kauffman, Louis H.},
	edition = {4},
	isbn = {978-981-4383-00-4},
	location = {Singapore},
	number = {53},
	publisher = {World Scientific},
	series = {Knots and Everything},
	title = {Knots and physics},
	year = {2013}
}

@book{cromwell,
	author = {Cromwell, Peter R.},
	isbn = {0-521-83947-5},
	location = {Cambridge, UK},
	publisher = {Cambridge University Press},
	title = {Knots and links},
	year = {2004}
}

@misc{siegel,
	author = {Siegel, Paul (https://mathoverflow.net/users/4362/paul-siegel)},
	date = {2017-04-29},
	note = {Comment on the question ``Why is Quantum Field Theory so topological?"},
	organization = {MathOverflow},
	title = {Why is topology so quantum field theoretic?},
	url = {https://mathoverflow.net/questions/268540/why-is-quantum-field-theory-so-topological#comment663918_268540}
}

@misc{yang-baxter,
	author = {contributors, Wikipedia},
	organization = {{Wikipedia}{,} The Free Encyclopedia},
	title = {Yang--Baxter equation},
	url = {https://en.wikipedia.org/w/index.php?title=Yang%E2%80%93Baxter_equation&oldid=1102882512},
	urldate = {2022-08-28},
	year = {2022}
}

@misc{partition-algebra,
	author = {contributors, Wikipedia},
	organization = {{Wikipedia}{,} The Free Encyclopedia},
	title = {Partition algebra},
	url = {https://en.wikipedia.org/wiki/Partition_algebra}
}

@article{jones,
	author = {Jones, F. R. Vaughan},
	doi = {10.1090/s0273-0979-1985-15304-2},
	journal = {Bulletin of the American Mathematical Society},
	number = {1},
	pages = {103--111},
	publisher = {American Mathematical Society},
	title = {A polynomial invariant for knots via von Neumann algebras},
	volume = {12},
	year = {1985}
}

@article{witten,
	author = {Witten, Edward},
	issue = {Spring},
	journal = {Institute Letter},
	location = {Princeton, NJ},
	organization = {Institute for Advanced Study},
	title = {Knots and quantum theory},
	url = {https://www.ias.edu/ideas/2011/witten-knots-quantum-theory},
	urldate = {2022-09-02},
	year = {2011}
}

@article{temperley-lieb,
	author = {Temperley, H. Neville V. and Lieb, Eliott H.},
	doi = {10.1098/rspa.1971.0067},
	journal = {Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
	month = 4,
	number = {1549},
	pages = {251--280},
	publisher = {The Royal Society},
	title = {Relations between the `percolation' and `colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the `percolation' problem},
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	year = {1971}
}

@article{artinzopfe,
	author = {Artin, Emil},
	doi = {10.1007/bf02950718},
	issn = {1865-8784},
	journal = {Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
	month = 10,
	number = {1},
	pages = {47--72},
	publisher = {Springer Science and Business Media LLC},
	title = {Theorie der z{\"o}pfe},
	volume = {4},
	x-fetchedfrom = {DOI},
	year = {1925}
}

@article{bohnenblust,
	author = {Bohnenblust, H. Frederic},
	doi = {10.2307/1969219},
	issn = {0003-486X},
	journal = {The Annals of Mathematics},
	month = 1,
	number = {1},
	pages = {127},
	publisher = {JSTOR},
	title = {The algebraical braid group},
	volume = {48},
	x-fetchedfrom = {DOI},
	year = {1947}
}

@article{artin,
	author = {Artin, Emil},
	doi = {10.2307/1969218},
	issn = {0003486X},
	journal = {Annals of Mathematics},
	number = {1},
	pages = {101--126},
	publisher = {JSTOR},
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@article{friedman,
	author = {Friedman, Michael},
	doi = {10.1080/17498430.2018.1533298},
	journal = {British Journal for the History of Mathematics},
	number = {1},
	pages = {43--59},
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@book{birman,
	author = {Birman, Joan S.},
	isbn = {978-14-0088142-0},
	number = {82},
	publisher = {Princeton University Press},
	series = {Annals of Mathematics Studies},
	title = {Braids, links, and mapping class groups},
	year = {1974}
}

@article{markov,
	author = {Markov, Jr., Andrei A.},
	journal = {Recueil Math{\'e}matique. Nouvelle S{\'e}rie},
	language = {German},
	pages = {73--78},
	title = {{\"U}ber die freie {\"a}quivalenz der geschlossenen {z{\"o}pfe}},
	url = {https://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=sm&paperid=5479&option_lang=eng},
	volume = {1},
	year = {1936},
	zbl = {0014.04202},
	zbmath = {3021610}
}

@article{alexander,
	author = {Alexander, James W.},
	doi = {10.1073/pnas.9.3.93},
	journal = {Proceedings of the National Academy of Sciences},
	month = {3},
	number = {3},
	pages = {93--95},
	publisher = {Proceedings of the National Academy of Sciences},
	title = {A lemma on systems of knotted curves},
	volume = {9},
	year = {1923}
}

@book{murasugibraids,
	author = {Murasugi, Kunio and Kurpita, Bohdan I.},
	isbn = {978-0-7923-5767-4},
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@article{ancel,
	author = {Ancel, Fredric D.},
	eprint = {2112.13940},
	eprintclass = {math.GT},
	eprinttype = {arxiv},
	journal = {arXiv},
	title = {Semi-isotopic knots},
	year = {2021}
}

@misc{shijie,
	author = {Gu, Shijie},
	date = {2022-12-26},
	note = {Answer to the question ``Bing sling isotopy to unknot" (version: 2022-12-27)},
	organization = {MathOverflow},
	title = {Bing sling isotopy to unknot},
	url = {https://mathoverflow.net/q/437260}
}

@article{morton,
	author = {Morton, H. R.},
	doi = {10.1017/S0305004100064161},
	journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
	number = {2},
	pages = {247--260},
	publisher = {Cambridge University Press},
	title = {Threading knot diagrams},
	volume = {99},
	year = {1986}
}

@book{pollack,
	author = {Guillemin, Victor and Pollack, Alan},
	isbn = {0-13-212605-2},
	location = {Engelwood Cliffs, NJ},
	publisher = {Prentice-Hall},
	title = {Differential Topology},
	year = {1974}
}

@book{murasugi,
	author = {Murasugi, Kunio},
	isbn = {978-0-8176-4718-6},
	location = {Boston, USA},
	publisher = {Birkhauser},
	title = {Knot Theory and Its Applications},
	year = {1996}
}

@article{alexanderbriggs,
	author = {Alexander, James W. and Briggs, Garland B.},
	doi = {10.2307/1968399},
	issn = {0003-486X},
	journal = {The Annals of Mathematics},
	number = {1/4},
	pages = {562},
	publisher = {JSTOR},
	title = {On Types of Knotted Curves},
	volume = {28},
	x-fetchedfrom = {DOI},
	year = {1926}
}

@article{reidemeister,
	author = {Reidemeister, Kurt},
	doi = {10.1007/bf02952507},
	issn = {1865-8784},
	journal = {Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
	month = dec,
	number = {1},
	pages = {24--32},
	publisher = {Springer Science and Business Media LLC},
	title = {Elementare Begr{\"u}ndung der Knotentheorie},
	volume = {5},
	x-fetchedfrom = {DOI},
	year = {1927}
}

@article{perko,
	author = {Perko, Kenneth A.},
	journal = {Proceedings of the American Mathematical Society},
	number = {2},
	pages = {262--266},
	title = {On the classification of knots},
	volume = {45},
	year = {1974}
}

@article{kauffmanstate,
	author = {Kauffman, Louis H.},
	journal = {New developments in the theory of knots},
	pages = {162},
	title = {State models and the Jones polynomial},
	volume = {11},
	year = {1990}
}

@article{kauffmaninvariant,
	author = {Kauffman, Louis H.},
	journal = {Transactions of the American Mathematical Society},
	number = {2},
	pages = {417--471},
	title = {An invariant of regular isotopy},
	volume = {318},
	year = {1990}
}

@article{kauffmanstate1987,
	author = {Kauffman, Louis H.},
	doi = {10.1016/0040-9383(87)90009-7},
	issn = {0040-9383},
	journal = {Topology},
	number = {3},
	pages = {395--407},
	publisher = {Elsevier BV},
	title = {State models and the Jones polynomial},
	volume = {26},
	year = {1987}
}

@article{lickorish,
	author = {Lickorish, William Bernard and Millett, Kenneth},
	doi = {10.2140/pjm.1986.124.173},
	journal = {Pacific Journal of Mathematics},
	month = {9},
	number = {1},
	pages = {173--176},
	publisher = {Mathematical Sciences Publishers},
	title = {The reversing result for the Jones polynomial},
	volume = {124},
	year = {1986}
}

@article{mortonjones,
	author = {Morton, Hugh R.},
	doi = {10.1093/qmath/37.1.55},
	journal = {The Quarterly Journal of Mathematics},
	number = {1},
	pages = {55--60},
	publisher = {Oxford University Press},
	title = {The Jones polynomial for unoriented links},
	volume = {37},
	year = {1986}
}

@book{dehn,
	author = {Dehn, Max},
	publisher = {Springer Science \& Business Media},
	title = {Papers on group theory and topology},
	year = {2012}
}

@article{murasugijones,
	author = {Murasugi, Kunio},
	journal = {Topology},
	number = {2},
	pages = {187--194},
	publisher = {Pergamon},
	title = {Jones polynomials and classical conjectures in knot theory},
	volume = {26},
	year = {1987}
}