Editing Knot theory (section)

=== Sources ===
*{{Citation|first=Colin |last= Adams|author-link=Colin Adams (mathematician)|title=The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots |publisher=[[American Mathematical Society]]|year=2004|isbn=978-0-8218-3678-1}}
*{{citation
 | last1 = Adams | first1 = Colin
 | last2 = Crawford | first2 = Thomas
 | last3 = DeMeo | first3 = Benjamin
 | last4 = Landry | first4 = Michael
 | last5 = Lin | first5 = Alex Tong
 | last6 = Montee | first6 = MurphyKate
 | last7 = Park | first7 = Seojung
 | last8 = Venkatesh | first8 = Saraswathi
 | last9 = Yhee | first9 = Farrah
 | arxiv = 1208.5742
 | doi = 10.1142/S021821651550011X
 | issue = 3
 | journal = Journal of Knot Theory and Its Ramifications
 | mr = 3342136
 | pages = 1550011, 30
 | title = Knot projections with a single multi-crossing
 | volume = 24
 | year = 2015| s2cid = 119320887
 }}
*{{Citation|first1=Colin|last1=Adams|first2=Martin|last2=Hildebrand|first3=Jeffrey|last3=Weeks|author3-link= Jeffrey Weeks (mathematician)|title=Hyperbolic invariants of knots and links|journal=Transactions of the American Mathematical Society|year=1991|volume=326|pages=1–56|issue=1 |jstor=2001854|doi=10.1090/s0002-9947-1991-0994161-2|doi-access=free}}
*{{Citation|first1=Selman|last1=Akbulut|author-link1=Selman Akbulut|first2=Henry C.|last2=King|title= All knots are algebraic|journal=[[Comment. Math. Helv.]]|year=1981|volume=56|pages=339–351|issue=3|doi=10.1007/BF02566217|s2cid=120218312}}
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*{{cite conference |url=https://drops.dagstuhl.de/opus/volltexte/2020/12183/|title=The Next 350 Million Knots|last=Burton|first=Benjamin A.|date=2020|publisher=Schloss Dagstuhl–Leibniz-Zentrum für Informatik|series=Leibniz Int. Proc. Inform.|volume=164|book-title=36th International Symposium on Computational Geometry (SoCG 2020)|pages=25:1–25:17|doi=10.4230/LIPIcs.SoCG.2020.25|doi-access=free}}
*{{Citation|first=Graham|last=Collins|journal=[[Scientific American]]|title=Computing with Quantum Knots|date=April 2006|bibcode=2006SciAm.294d..56C|volume=294|pages=56–63|doi=10.1038/scientificamerican0406-56|issue=4|pmid=16596880}}
*{{Citation|first=Max|last=Dehn|author-link=Max Dehn|title=Die beiden Kleeblattschlingen|journal=Mathematische Annalen|volume=75|year=1914|issue=3|pages=402–413|doi=10.1007/BF01563732|s2cid=120452571}}
*{{Citation|first=John H.|last=Conway|author-link=John Horton Conway|chapter=An enumeration of knots and links, and some of their algebraic properties|publisher=Pergamon|year=1970|pages=329–358|title=Computational Problems in Abstract Algebra|doi=10.1016/B978-0-08-012975-4.50034-5|isbn=978-0-08-012975-4}}
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*{{Citation|first=Erica|last=Flapan|author-link=Erica Flapan|title=When topology meets chemistry: A topological look at molecular chirality|title-link= When Topology Meets Chemistry |series=Outlook|publisher=[[Cambridge University Press]]|year=2000|isbn=978-0-521-66254-3}}
*{{Citation|first=André|last=Haefliger|author-link=André Haefliger|title=Knotted (4''k''&nbsp;&minus;&nbsp;1)-spheres in 6''k''-space|journal=Annals of Mathematics |series=Second Series|year=1962|volume=75|pages=452–466|issue=3|jstor=1970208|doi=10.2307/1970208}}
*{{citation| last=Haken | first=Wolfgang | authorlink=Wolfgang Haken| title=Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I | doi=10.1007/BF01162369 | mr=0160196 | year=1962 | journal=[[Mathematische Zeitschrift]] | issn=0025-5874 | volume=80 | pages=89–120}}
*{{Citation|first=Joel|last=Hass|author-link=Joel Hass|title=Algorithms for recognizing knots and 3-manifolds|journal=[[Chaos, Solitons and Fractals]]|year=1998|pages=569–581|volume=9|doi=10.1016/S0960-0779(97)00109-4|issue=4–5 |arxiv=math/9712269|bibcode = 1998CSF.....9..569H |s2cid=7381505}}
*{{Citation|first1=Jim|last1=Hoste|first2=Morwen|last2=Thistlethwaite|author-link2=Morwen Thistlethwaite|first3=Jeffrey|last3=Weeks|title= The First 1,701,935 Knots|journal=[[Math. Intelligencer]]| volume=20|year=1998|pages=33–48|doi=10.1007/BF03025227|issue=4|s2cid=18027155}}
*{{cite book |doi=10.1016/B978-044451452-3/50006-X |chapter=The Enumeration and Classification of Knots and Links |title=Handbook of Knot Theory |year=2005 |last1=Hoste |first1=Jim |pages=209–232 |isbn=978-0-444-51452-3 }}
*{{Citation|first=Jerome|last=Levine|author-link=Jerome Levine|title=A classification of differentiable knots|journal=[[Annals of Mathematics]] |series=Second Series|year=1965|volume=1982|issue=1|pages=15–50|jstor=1970561|doi=10.2307/1970561}}
*{{cite book |doi=10.1090/advsov/016.2/04 |chapter=Vassiliev's knot invariants |title=I. M. Gelfand Seminar |series=ADVSOV |year=1993 |last1=Kontsevich |first1=M. |volume=16 |issue=2 |pages=137–150 |isbn=978-0-8218-4117-4 }}
*{{Citation|first=W. B. Raymond|last=Lickorish|author-link=W. B. R. Lickorish|title=An Introduction to Knot Theory|publisher=Springer-Verlag|series=Graduate Texts in Mathematics|volume=175|year=1997|isbn=978-0-387-98254-0|url=https://books.google.com/books?id=PhHhw_kRvewC|doi=10.1007/978-1-4612-0691-0|s2cid=122824389 }}
*{{Citation|first=Kenneth|last=Perko|title=On the classification of knots|journal=[[Proceedings of the American Mathematical Society]] |year=1974|volume=45|pages=262–6 |issue=2|jstor=2040074|doi=10.2307/2040074|doi-access=free}}
*{{Citation|first=Dale|last=Rolfsen|title=Knots and Links|publisher=Publish or Perish|location=[[Berkeley, California]]|
year=1976|series=Mathematics Lecture Series| volume= 7| 
isbn=978-0-914098-16-4 |url=https://books.google.com/books?id=naYJBAAAQBAJ|mr=0515288}}
*{{cite book |doi=10.1007/978-3-642-45813-2 |title=Die eindeutige Zerlegbarkeit eines Knotens in Primknoten |year=1949 |last1=Schubert |first1=Horst |isbn=978-3-540-01419-5 }}
* {{cite journal |last1=Silver |first1=Daniel |title=Knot Theory's Odd Origins |journal=American Scientist |date=2006 |volume=94 |issue=2 |pages=158 |doi=10.1511/2006.2.158 }}
*{{Citation| last=Simon|first=Jonathan| year = 1986| journal = Topology|volume = 25|pages=229–235|title=Topological chirality of certain molecules| doi=10.1016/0040-9383(86)90041-8| issue=2|doi-access=free}}
*{{Citation | last =Sossinsky | first =Alexei | year =2002 | title =Knots, mathematics with a twist | publisher =Harvard University Press | isbn =978-0-674-00944-8 }}
*{{cite book |doi=10.1515/9783110435221 |title=Quantum Invariants of Knots and 3-Manifolds |year=2016 |last1=Turaev |first1=Vladimir G. |isbn=978-3-11-043522-1 |s2cid=118682559 }}
*{{cite web |url=http://mathworld.wolfram.com/ReducedKnotDiagram.html |title=Reduced Knot Diagram |last1=Weisstein |first1=Eric W. |author-link=Eric W. Weisstein| work=MathWorld |publisher=Wolfram |access-date=8 May 2013 |year=2013 }}
*{{cite web |url=http://mathworld.wolfram.com/ReducibleCrossing.html |title=Reducible Crossing |last1=Weisstein |first1=Eric W. |work=MathWorld |publisher=[[Wolfram Research|Wolfram]] |access-date=8 May 2013 |year=2013a}}
*{{Citation|last=Witten|first=Edward|author-link=Edward Witten|title=Quantum field theory and the Jones polynomial|journal=Comm. Math. Phys.|volume=121|year=1989|pages=351–399|issue=3|doi=10.1007/BF01217730|bibcode=1989CMaPh.121..351W|s2cid=14951363|url=http://projecteuclid.org/euclid.cmp/1104178138}}
*{{Citation|first=Erik C.|last=Zeeman|author-link=E. C. Zeeman|title=Unknotting combinatorial balls|journal=Annals of Mathematics |series=Second Series|year=1963|volume=78|pages=501–526|issue=3|jstor=1970538|doi=10.2307/1970538}}