Alexander polynomial (English Wikipedia)

Kawauchi 2012, Theorem 11.5.3, p. 150. Kawauchi credits this result to Kondo, H. (1979), "Knots of unknotting number 1 and their Alexander polynomials", Osaka J. Math. 16: 551-559, and to Sakai, T. (1977), "A remark on the Alexander polynomials of knots", Math. Sem. Notes Kobe Univ. 5: 451~456. Kawauchi, Akio (2012) [1996]. A Survey of Knot Theory. Birkhäuser. ISBN 978-3-0348-9227-8. (covers several different approaches, explains relations between different versions of the Alexander polynomial)
Kauffman 1983. Kauffman, Louis (2006) [1983]. Formal Knot Theory. Courier. ISBN 978-0-486-45052-0.
Kawauchi 2012, symmetry section. Kawauchi, Akio (2012) [1996]. A Survey of Knot Theory. Birkhäuser. ISBN 978-3-0348-9227-8. (covers several different approaches, explains relations between different versions of the Alexander polynomial)

doi.org (Global: 2^nd place; English: 2^nd place)

Birman 1993. Birman, Joan (1993). "New points of view in knot theory". Bull. Amer. Math. Soc. N.S. 28 (2): 253–287. arXiv:math/9304209. doi:10.1090/S0273-0979-1993-00389-6.
Alexander 1928. Alexander, J. W. (1928). "Topological Invariants of Knots and Links" (PDF). Transactions of the American Mathematical Society. 30 (2): 275–306. doi:10.1090/S0002-9947-1928-1501429-1. JSTOR 1989123.
Fintushel & Stern 1998. Fintushel, Ronald; Stern, Ronald J. (October 1998). "Knots, links, and 4-manifolds". Inventiones Mathematicae. 134 (2): 363–400. arXiv:dg-ga/9612014. Bibcode:1998InMat.134..363F. doi:10.1007/s002220050268. ISSN 0020-9910. MR 1650308. S2CID 3752148.
Cromwell, P. R. (1991). "Some infinite families of satellite knots with given Alexander polynomial". Mathematika. 38 (1). Wiley: 156–169. doi:10.1112/s0025579300006513. ISSN 0025-5793.
Ozsváth & Szabó 2004. Ozsváth, Peter; Szabó, Zoltán (2004). "Holomorphic disks and knot invariants". Advances in Mathematics. 186 (1): 58–116. arXiv:math/0209056. Bibcode:2002math......9056O. doi:10.1016/j.aim.2003.05.001. S2CID 11246611.
Ozsváth & Szabó 2004b. Ozsváth, Peter; Szabó, Zoltán (2004b). "Holomorphic disks and genus bounds". Geometry and Topology. 8 (2004): 311–334. arXiv:math/0311496. doi:10.2140/gt.2004.8.311. S2CID 11374897.
Ni 2007. Ni, Yi (2007). "Knot Floer homology detects fibred knots". Inventiones Mathematicae. Invent. Math. 170 (3): 577–608. arXiv:math/0607156. Bibcode:2007InMat.170..577N. doi:10.1007/s00222-007-0075-9. S2CID 119159648.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Fintushel & Stern 1998. Fintushel, Ronald; Stern, Ronald J. (October 1998). "Knots, links, and 4-manifolds". Inventiones Mathematicae. 134 (2): 363–400. arXiv:dg-ga/9612014. Bibcode:1998InMat.134..363F. doi:10.1007/s002220050268. ISSN 0020-9910. MR 1650308. S2CID 3752148.
Ozsváth & Szabó 2004. Ozsváth, Peter; Szabó, Zoltán (2004). "Holomorphic disks and knot invariants". Advances in Mathematics. 186 (1): 58–116. arXiv:math/0209056. Bibcode:2002math......9056O. doi:10.1016/j.aim.2003.05.001. S2CID 11246611.
Rasmussen 2003. Rasmussen, Jacob (2003). Floer homology and knot complements (Thesis). Harvard University. p. 6378. arXiv:math/0306378. Bibcode:2003math......6378R.
Ni 2007. Ni, Yi (2007). "Knot Floer homology detects fibred knots". Inventiones Mathematicae. Invent. Math. 170 (3): 577–608. arXiv:math/0607156. Bibcode:2007InMat.170..577N. doi:10.1007/s00222-007-0075-9. S2CID 119159648.

jstor.org (Global: 26^th place; English: 20^th place)

Alexander 1928. Alexander, J. W. (1928). "Topological Invariants of Knots and Links" (PDF). Transactions of the American Mathematical Society. 30 (2): 275–306. doi:10.1090/S0002-9947-1928-1501429-1. JSTOR 1989123.

knotinfo.org (Global: low place; English: low place)

"KnotInfo". KnotInfo. Retrieved 2025-09-17.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Fintushel & Stern 1998. Fintushel, Ronald; Stern, Ronald J. (October 1998). "Knots, links, and 4-manifolds". Inventiones Mathematicae. 134 (2): 363–400. arXiv:dg-ga/9612014. Bibcode:1998InMat.134..363F. doi:10.1007/s002220050268. ISSN 0020-9910. MR 1650308. S2CID 3752148.
Ozsváth & Szabó 2004. Ozsváth, Peter; Szabó, Zoltán (2004). "Holomorphic disks and knot invariants". Advances in Mathematics. 186 (1): 58–116. arXiv:math/0209056. Bibcode:2002math......9056O. doi:10.1016/j.aim.2003.05.001. S2CID 11246611.
Ozsváth & Szabó 2004b. Ozsváth, Peter; Szabó, Zoltán (2004b). "Holomorphic disks and genus bounds". Geometry and Topology. 8 (2004): 311–334. arXiv:math/0311496. doi:10.2140/gt.2004.8.311. S2CID 11374897.
Ni 2007. Ni, Yi (2007). "Knot Floer homology detects fibred knots". Inventiones Mathematicae. Invent. Math. 170 (3): 577–608. arXiv:math/0607156. Bibcode:2007InMat.170..577N. doi:10.1007/s00222-007-0075-9. S2CID 119159648.

worldcat.org (Global: 5^th place; English: 5^th place)

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Fox 1961. Fox, Ralph (1961). "A quick trip through knot theory". In Fort, M.K. (ed.). Proceedings of the University of Georgia Topology Institute. Englewood Cliffs. N. J.: Prentice-Hall. pp. 120–167. OCLC 73203715.
Fintushel & Stern 1998. Fintushel, Ronald; Stern, Ronald J. (October 1998). "Knots, links, and 4-manifolds". Inventiones Mathematicae. 134 (2): 363–400. arXiv:dg-ga/9612014. Bibcode:1998InMat.134..363F. doi:10.1007/s002220050268. ISSN 0020-9910. MR 1650308. S2CID 3752148.
Cromwell, P. R. (1991). "Some infinite families of satellite knots with given Alexander polynomial". Mathematika. 38 (1). Wiley: 156–169. doi:10.1112/s0025579300006513. ISSN 0025-5793.

Alexander polynomial (English Wikipedia)

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