Alexander polynomial (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Alexander polynomial" in English language version.

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ams.org

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.

mathscinet.ams.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.

archive.org

Freedman & Quinn 1990. Freedman, Michael H.; Quinn, Frank (1990). Topology of 4-manifolds. Princeton Mathematical Series. Vol. 39. Princeton University Press. ISBN 978-0-691-08577-7.

arxiv.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.
Rasmussen 2003. Rasmussen, Jacob (2003). Floer homology and knot complements (Thesis). Harvard University. p. 6378. arXiv:math/0306378. Bibcode:2003math......6378R.
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.

books.google.com

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

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.
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

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

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.

semanticscholar.org

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

search.worldcat.org

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.