亞歷山大多項式

• ${\displaystyle \nabla (O)=1}$ (unknot)
• ${\displaystyle \nabla (L_{+})-\nabla (L_{-})=z\nabla (L_{0})}$

${\displaystyle \Delta _{L}(t^{2})=\nabla _{L}(t-t^{-1})}$

${\displaystyle \Delta (L_{+})-\Delta (L_{-})=(t^{1/2}-t^{-1/2})\Delta (L_{0})}$

• Alexander, J. W. . Transactions of the American Mathematical Society. 1928, 30 (2): 275–306. JSTOR 1989123. doi:10.2307/1989123.
• Crowell, Richard; Fox, Ralph. . Ginn and Co. after 1977 Springer Verlag. 1963.
• Adams, Colin C. Revised reprint of the 1994 original. Providence, RI: American Mathematical Society. 2004. ISBN 978-0-8218-3678-1. (accessible introduction utilizing a skein relation approach)
• Fox, Ralph. Proceedings of 1961 Topology Institute at Univ. of Georgia, edited by M.K.Fort. Englewood Cliffs. N. J.: Prentice-Hall: 120–167. 1961.
• Freedman, Michael H.; Quinn, Frank. . Princeton Mathematical Series 39. Princeton, NJ: Princeton University Press. 1990. ISBN 978-0-691-08577-7.
• Kauffman, Louis. . Princeton University Press. 1983.
• Kauffman, Louis. 4th. World Scientific Publishing Company. 2012. ISBN 978-981-4383-00-4.
• Kawauchi, Akio. . Birkhauser. 1996. (covers several different approaches, explains relations between different versions of the Alexander polynomial)
• Ozsváth, Peter; Szabó, Zoltán. . Advances in Mathematics. 2004, 186 (1): 58–116. Bibcode:2002math......9056O. arXiv:math/0209056 . doi:10.1016/j.aim.2003.05.001.
• Szabó, Zoltán. . Geometry and Topology. 2004b, 8 (2004): 311–334. arXiv:math/0311496 . doi:10.2140/gt.2004.8.311. Authors list列表中的|first1=缺少|last1= (帮助)
• Ni, Yi. . Inventiones Mathematicae. Invent. Math. 2007, 170 (3): 577–608. Bibcode:2007InMat.170..577N. arXiv:math/0607156 . doi:10.1007/s00222-007-0075-9.
• Rasmussen, Jacob. (学位论文). 缺少或|title=为空 (帮助)
• Rolfsen, Dale. 2nd. Berkeley, CA: Publish or Perish. 1990. ISBN 978-0-914098-16-4. (explains classical approach using the Alexander invariant; knot and link table with Alexander polynomials)

• Hazewinkel, Michiel (编), , , Springer, 2001, ISBN 978-1-55608-010-4
• "Main Page" and "The Alexander-Conway Polynomial", The Knot Atlas. – knot and link tables with computed Alexander and Conway polynomials