Knot Atlas

The Knot Atlas is a website, an encyclopedia rather than atlas, dedicated to knot theory. It and its predecessor were created by mathematician Dror Bar-Natan, who maintains the current site with Scott Morrison. According to Schiller, the site contains, ”beautiful illustrations and detailed information about knots,” as does[1] According to the site itself, it is a knot atlas (collection of maps), theory database, knowledge base, and ”a home for some computer programs” (

References in zbMATH (referenced in 51 articles )

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  1. Aboufattoum, Ayman; Elsakhawy, Elsyed A.; Istvan, Kyle; Qazaqzeh, Khaled: Kauffman polynomial of periodic knotted trivalent graphs (2018)
  2. Cristofori, Paola; Fominykh, Evgeny; Mulazzani, Michele; Tarkaev, Vladimir: Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds (2018)
  3. Conant, J.; Manathunga, V. A.: The Conway polynomial and amphicheiral knots (2017)
  4. Dennis, Mark R.; Bode, Benjamin: Constructing a polynomial whose nodal set is the three-twist knot $5_2$ (2017)
  5. Eliahou, Shalom; Fromentin, Jean: A remarkable 20-crossing tangle (2017)
  6. Even-Zohar, Chaim: Models of random knots (2017)
  7. Mironov, A.; Morozov, A.; Morozov, An.; Ramadevi, P.; Singh, Vivek Kumar; Sleptsov, A.: Checks of integrality properties in topological strings (2017)
  8. Nelson, Sam; Orrison, Michael E.; Rivera, Veronica: Quantum enhancements and biquandle brackets (2017)
  9. Park, Junghwan: Inequality on $t_\nu (K)$ defined by Livingston and Naik and its applications (2017)
  10. Tagami, Keiji: On the maximal degree of the Khovanov homology (2017)
  11. Armond, Cody; Cohen, Moshe: The graded count of quasi-trees is not a knot invariant (2016)
  12. Ernst, Claus; Montemayor, Anthony: Nullification numbers of knots with up to 10 crossings (2016)
  13. Garoufalidis, Stavros; Norin, Sergey; Vuong, Thao: Flag algebras and the stable coefficients of the Jones polynomial (2016)
  14. Kadokami, Teruhisa; Kobatake, Yoji: Prime component-preservingly amphicheiral link with odd minimal crossing number (2016)
  15. Kaestner, Aaron; Nelson, Sam; Selker, Leo: Parity biquandle invariants of virtual knots (2016)
  16. Moore, Allison H.: Symmetric unions without cosmetic crossing changes (2016)
  17. Nelson, Sam; Tamagawa, Sherilyn: Quotient quandles and the fundamental Latin Alexander quandle (2016)
  18. Zeković, Ana; Jablan, Slavik; Kauffman, Louis; Sazdanovic, Radmila; Stošić, Marko: Unknotting and maximum unknotting numbers (2016)
  19. Brendel, Piotr; Dłotko, Paweł; Ellis, Graham; Juda, Mateusz; Mrozek, Marian: Computing fundamental groups from point clouds (2015)
  20. Duzhin, Sergei; Shkolnikov, Mikhail: A formula for the HOMFLY polynomial of rational links (2015)

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