^Alexander describes his skein relation toward the end of his paper under the heading "miscellaneous theorems", which is possibly why it got lost. Joan Birman mentions in her paper New points of view in knot theory (Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 2, 253–287) that Mark Kidwell brought her attention to Alexander's relation in 1970.
阅读
Alexander, J. W. Topological invariants of knots and links. Transactions of the American Mathematical Society. 1928, 30 (2): 275–306. JSTOR 1989123. doi:10.2307/1989123.
Crowell, Richard; Fox, Ralph. Introduction to Knot Theory. Ginn and Co. after 1977 Springer Verlag. 1963.
Adams, Colin C. The Knot Book: An elementary introduction to the mathematical theory of knots 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. A quick trip through knot theory, In Topology of ThreeManifold 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. Topology of 4-manifolds. Princeton Mathematical Series 39. Princeton, NJ: Princeton University Press. 1990. ISBN 978-0-691-08577-7.
Kauffman, Louis. Knots and Physics 4th. World Scientific Publishing Company. 2012. ISBN 978-981-4383-00-4.
Kawauchi, Akio. A Survey of Knot Theory. Birkhauser. 1996. (covers several different approaches, explains relations between different versions of the Alexander polynomial)
Ozsváth, Peter; Szabó, Zoltán. Holomorphic disks and knot invariants. Advances in Mathematics. 2004, 186 (1): 58–116. Bibcode:2002math......9056O. arXiv:math/0209056. doi:10.1016/j.aim.2003.05.001.
Szabó, Zoltán. Holomorphic disks and genus bounds. 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)
Rolfsen, Dale. Knots and Links 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)
"Main Page" and "The Alexander-Conway Polynomial", The Knot Atlas. – knot and link tables with computed Alexander and Conway polynomials
二月 18, 2023
亞歷山大多項式, 在纽结理论中, 亚历山大多项式, alexander, polynomial, 是一种紐結多項式, 目录, 亚历山大, 康威多项式, 参考文献, 阅读, 外部链接亚历山大, 康威多项式, 编辑, displaystyle, nabla, unknot, displaystyle, nabla, nabla, nabla, displaystyle, delta, nabla, displaystyle, delta, delta, delta, 参考文献, 编辑, alexander, descr. 在纽结理论中 亚历山大多项式 Alexander polynomial 是一种紐結多項式 1 目录 1 亚历山大 康威多项式 2 参考文献 3 阅读 4 外部链接亚历山大 康威多项式 编辑 O 1 displaystyle nabla O 1 unknot L L z L 0 displaystyle nabla L nabla L z nabla L 0 D L t 2 L t t 1 displaystyle Delta L t 2 nabla L t t 1 D L D L t 1 2 t 1 2 D L 0 displaystyle Delta L Delta L t 1 2 t 1 2 Delta L 0 参考文献 编辑 Alexander describes his skein relation toward the end of his paper under the heading miscellaneous theorems which is possibly why it got lost Joan Birman mentions in her paper New points of view in knot theory Bull Amer Math Soc N S 28 1993 no 2 253 287 that Mark Kidwell brought her attention to Alexander s relation in 1970 阅读 编辑Alexander J W Topological invariants of knots and links Transactions of the American Mathematical Society 1928 30 2 275 306 JSTOR 1989123 doi 10 2307 1989123 Crowell Richard Fox Ralph Introduction to Knot Theory Ginn and Co after 1977 Springer Verlag 1963 Adams Colin C The Knot Book An elementary introduction to the mathematical theory of knots 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 A quick trip through knot theory In Topology of ThreeManifold 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 Topology of 4 manifolds Princeton Mathematical Series 39 Princeton NJ Princeton University Press 1990 ISBN 978 0 691 08577 7 Kauffman Louis Formal Knot Theory Princeton University Press 1983 Kauffman Louis Knots and Physics 4th World Scientific Publishing Company 2012 ISBN 978 981 4383 00 4 Kawauchi Akio A Survey of Knot Theory Birkhauser 1996 covers several different approaches explains relations between different versions of the Alexander polynomial Ozsvath Peter Szabo Zoltan Holomorphic disks and knot invariants Advances in Mathematics 2004 186 1 58 116 Bibcode 2002math 9056O arXiv math 0209056 doi 10 1016 j aim 2003 05 001 Szabo Zoltan Holomorphic disks and genus bounds 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 Knot Floer homology detects fibred knots 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 Knots and Links 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 外部链接 编辑Hazewinkel Michiel 编 Alexander invariants 数学百科全书 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 取自 https zh wikipedia org w index php title 亞歷山大多項式 amp oldid 68259804, 维基百科，wiki，书籍，书籍，图书馆，
