s paper presents some examples and a survey of results concerning a new way of presenting knots and links, together with the corresponding link invariant. More detailed accounts are given in [Cr, C-N, Nu1, Nu2, Nu3].
@article{bwmeta1.element.bwnjournal-article-bcpv42i1p57bwm, author = {Cromwell, Peter}, title = {Arc presentations of knots and links}, journal = {Banach Center Publications}, volume = {43}, year = {1998}, pages = {57-64}, zbl = {0904.57004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv42i1p57bwm} }
Cromwell, Peter. Arc presentations of knots and links. Banach Center Publications, Tome 43 (1998) pp. 57-64. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv42i1p57bwm/
[000] [B-M] J. S. Birman and W. W. Menasco, Special positions for essential tori in link complements, Topology 33 (1994) 525-556. | Zbl 0833.57004
[001] [Br] H. Brunn, Über verknotete Kurven, Verhandlungen des ersten Internationalen Mathematiker-Kongresses (Zürich, 1897), Leipzig, 1898.
[002] [Cr] P. R. Cromwell, Embedding knots and links in an open book I: Basic properties, Topology and its Applications 64 (1995), 37-58. | Zbl 0845.57004
[003] [C-N] P. R. Cromwell and I. J. Nutt, Embedding knots and links in an open book II: Bounds on arc index, Math. Proc. Cambridge Philos. Soc. 119 (1996), 309-319. | Zbl 0860.57007
[004] [Li] W. B. R. Lickorish, Linear skein theory and link polynomials, Topology and its Applications 27 (1987), 265-274. | Zbl 0638.57005
[005] [Nu1] I. J. Nutt, Braid index of satellite links, Ph.D. thesis, University of Liverpool. 1995.
[006] [Nu2] I. J. Nutt, Embedding knots and links in an open book III: On the braid index of satellite links, Preprint 1995. (University of Liverpool)
[007] [Nu3] I. J. Nutt, Arc index and the Kauffman polynomial, J. Knot theory and its Ramifications 6 (1997), 61-77. | Zbl 0879.57009
[008] [Ro] D. Rolfsen, Knots and links, Publish or Perish Inc. (1976)
[009] [Th1] M. B. Thistlethwaite, Kauffman's polynomial and alternating links, Topology 27 (1988), 311-318. | Zbl 0667.57002
[010] [Th2] M. B. Thistlethwaite, On the Kauffman polynomial of an adequate link, Invent. Math. 93 (1988), 285-296. | Zbl 0645.57007