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The braid indices of the reverse parallel links of alternating knots

Yuanan Diao and Hugh Morton

Algebraic & Geometric Topology 24 (2024) 2957–2970
Bibliography
1 Y Bae, C Y Park, An upper bound of arc index of links, Math. Proc. Cambridge Philos. Soc. 129 (2000) 491 MR1780500
2 J S Birman, W W Menasco, Special positions for essential tori in link complements, Topology 33 (1994) 525 MR1286930
3 P R Cromwell, Arc presentations of knots and links, from: "Knot theory" (editors V F R Jones, J Kania-Bartoszyńska, J H Przytycki, P Traczyk, V G Turaev), Banach Center Publ. 42, Polish Acad. Sci. Inst. Math. (1998) 57 MR1634447
4 Y Diao, Braid index bounds ropelength from below, J. Knot Theory Ramifications 29 (2020) 2050019 MR4096812
5 Y Diao, Anti-parallel links as boundaries of knotted ribbons, preprint (2021) arXiv:2011.06200
6 Y Diao, C Ernst, G Hetyei, P Liu, A diagrammatic approach for determining the braid index of alternating links, J. Knot Theory Ramifications 30 (2021) 2150035 MR4284609
7 J Franks, R F Williams, Braids and the Jones polynomial, Trans. Amer. Math. Soc. 303 (1987) 97 MR0896009
8 R J Hadji, H R Morton, A basis for the full Homfly skein of the annulus, Math. Proc. Cambridge Philos. Soc. 141 (2006) 81 MR2238644
9 L H Kauffman, State models and the Jones polynomial, Topology 26 (1987) 395 MR0899057
10 L H Kauffman, An invariant of regular isotopy, Trans. Amer. Math. Soc. 318 (1990) 417 MR0958895
11 H R Morton, Seifert circles and knot polynomials, Math. Proc. Cambridge Philos. Soc. 99 (1986) 107 MR0809504
12 H R Morton, E Beltrami, Arc index and the Kauffman polynomial, Math. Proc. Cambridge Philos. Soc. 123 (1998) 41 MR1474862
13 K Murasugi, On the braid index of alternating links, Trans. Amer. Math. Soc. 326 (1991) 237 MR1000333
14 K Y Ng, Essential tori in link complements, J. Knot Theory Ramifications 7 (1998) 205 MR1618924
15 I J Nutt, Embedding knots and links in an open book, III : On the braid index of satellite links, Math. Proc. Cambridge Philos. Soc. 126 (1999) 77 MR1681655
16 L Rudolph, A congruence between link polynomials, Math. Proc. Cambridge Philos. Soc. 107 (1990) 319 MR1027784
17 M B Thistlethwaite, On the Kauffman polynomial of an adequate link, Invent. Math. 93 (1988) 285 MR0948102