References
- N. A'Campo, Le groupe de monodromie du deploiement des singularite isolees de coubes planes I, Math. Ann., 213(1975), 1-32. https://doi.org/10.1007/BF01883883
- N. A'Campo, Generic immersions of curves, knots, monodromy and gordian number, Inst. Hautes Etudes Sci. Publ. Math., 88(1998), 151-169. https://doi.org/10.1007/BF02701769
- N. A'Campo, Planar trees, slalom curves and hyperbolic knots, Inst. Hautes Etudes Sci. Publ. Math., 88(1998), 171-180. https://doi.org/10.1007/BF02701770
- N. A'Campo, Real deformations and complex topology of plane curve singularities, Ann. Fac. Sci. Toulouse Math. (6), 8(1999), 5-23. https://doi.org/10.5802/afst.918
- V. I. Arnold, S. M. Gusein-Zade and A. N. Varchenko, Singularities of differentiable maps, Volume II. Monodromy and asymptotics of integrals, Monographs in Mathematics 83, Birkhauser Boston, Inc., Boston, MA, 1988.
- K. L. Baker, Knots on Once-punctured torus fibers, Ph. D. dissertation, The University of Texas at Austin, 2004.
- K. L. Baker, Surgery descriptions and volumes of Berge knots I: Large volume Berge knots, J. Knot Theory Ramifications, 17(9)(2008), 1077-1197. https://doi.org/10.1142/S0218216508006518
- K. L. Baker, Surgery descriptions and volumes of Berge knots II: Descriptions on the minimally twisted five chain link, J. Knot Theory Ramifications, 17(9)(2008), 1099-1120. https://doi.org/10.1142/S021821650800652X
- J. Berge, Some knots with surgeries yielding lens spaces, Unpublished manuscript, 1990.
-
J. Berge, The knots in
$D^2{\times}S^1$ which have nontrivial Dehn surgeries that yield$D^2{\times}S^1$ , Topology Appl., 38(1)(1991), 1-19. https://doi.org/10.1016/0166-8641(91)90037-M - S. Chmutov, Diagrams of divide links, Proc. Amer. Math. Soc., 131(5)(2003), 1623-1627. https://doi.org/10.1090/S0002-9939-02-06770-9
- O. Couture and B. Perron, Representative braids for links associated to plane immersed curves, J. Knot Theory Ramifications, 9(2000), 1-30. https://doi.org/10.1142/S0218216500000025
- A. Deruelle, K. Miyazaki and K. Motegi, Networking Seifert surgeries on knots. II. The Berge's lens surgeries, Topology Appl., 156(6)(2009), 1083-1113. https://doi.org/10.1016/j.topol.2008.10.012
- A. Deruelle, K. Miyazaki and K. Motegi, Networking Seifert surgeries on knots, Mem. Amer. Math. Soc., 217(2012), no. 1021, 130 pp.
- R. Fintushel and R. Stern, Constructing Lens spaces by surgery on knots, Math. Z., 175(1980), 33-51. https://doi.org/10.1007/BF01161380
- H. Goda, M. Hirasawa and Y. Yamada, Lissajous curves as A'Campo divides, torus knots and their fiber surfaces, Tokyo J. Math., 25(2)(2002), 485-491. https://doi.org/10.3836/tjm/1244208867
- C. McA Gordon, Dehn surgery on knots, Proceedings of the International Congress of Mathematicians, Math. Soc. Japan, (1991), 631-642.
- C. McA Gordon, Dehn filling: a survey, Knot theory, Banach Center Publ., 42(1998), 129-144. https://doi.org/10.4064/-42-1-129-144
- J. E. Greene, The lens space realization problem, Ann. of Math. (2), 177(2)(2013), 449-511. https://doi.org/10.4007/annals.2013.177.2.3
- M. Hirasawa, Visualization of A'Campo's fibered links and unknotting operation, Topology Appl., 121(2002), 287-304. https://doi.org/10.1016/S0166-8641(01)00124-9
- C. V. Q. Hongler and C. Weber, The link of an extrovert divide, Ann. Fac. Sci. Toulouse Math. (6), 9(1)(2000), 133-145 https://doi.org/10.5802/afst.957
- R. P. Osborne and R. S. Stevens, Group presentations corresponding to spines of 3-manifolds III, Trans. Amer. Math., 234(1977), 245-251.
- L. Rudolph, Knot theory of complex plane curves, Handbook of Knot Theory, W W. Menasco and M B. Thistlethwaite Eds, Elsevier B. V., Amsterdam, (2005), 349-427.
- Y. Yamada, Berge's knots in the fiber surfaces of genus one, lens space and framed links, J. Knot Theory Ramifications, 14(2)(2005), 177-188. https://doi.org/10.1142/S0218216505003774
- Y. Yamada, A family of knots yielding graph manifolds by Dehn surgery, Michigan Math. J., 53(3)(2005), 683-690. https://doi.org/10.1307/mmj/1133894173
- Y. Yamada, Finite Dehn surgery along A'Campo's divide knots, Singularity Theory and its Applications, Adv. Stud. Pure Math., 43(2006), 573-583. https://doi.org/10.2969/aspm/04310573
- Y. Yamada, Lens space surgeries as A'Campo's divide knots, Algebr. Geom. Topol., 9(1)(2009), 397-428. https://doi.org/10.2140/agt.2009.9.397
- Y. Yamada, Canonical forms of the knots in the genus one fiber surfaces, Bull. Univ. Electro-Commun., 22-1(2010), 25-31.