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Modular links: bunch algorithm and upper volume bounds

Connie On Yu Hui and José Andrés Rodríguez Migueles

Algebraic & Geometric Topology 26 (2026) 2123–2156
Bibliography
1 M Bergeron, T Pinsky, L Silberman, An upper bound for the volumes of complements of periodic geodesics, Int. Math. Res. Not. 2019 (2019) 4707 MR3988666
2 J Birman, I Kofman, A new twist on Lorenz links, J. Topol. 2 (2009) 227 MR2529294
3 J S Birman, R F Williams, Knotted periodic orbits in dynamical systems, I : Lorenz’s equations, Topology 22 (1983) 47 MR682059
4 A Brandts, T Pinsky, L Silberman, Volumes of hyperbolic three-manifolds associated with modular links, Symmetry 11 (2019) 1206
5 A Champanerkar, D Futer, I Kofman, W Neumann, J S Purcell, Volume bounds for generalized twisted torus links, Math. Res. Lett. 18 (2011) 1097 MR2915470
6 T Cremaschi, J A Rodríguez-Migueles, Hyperbolicity of link complements in Seifert-fibered spaces, Algebr. Geom. Topol. 20 (2020) 3561 MR4194288
7 P Dehornoy, On the zeroes of the Alexander polynomial of a Lorenz knot, Ann. Inst. Fourier (Grenoble) 65 (2015) 509 MR3449161
8 P Foulon, B Hasselblatt, Contact Anosov flows on hyperbolic 3-manifolds, Geom. Topol. 17 (2013) 1225 MR3070525
9 J Franks, R F Williams, Braids and the Jones polynomial, Trans. Amer. Math. Soc. 303 (1987) 97 MR896009
10 D Futer, E Kalfagianni, J S Purcell, A survey of hyperbolic knot theory, from: "Knots, low-dimensional topology and applications" (editors C C Adams, C M Gordon, V F R Jones, L H Kauffman, S Lambropoulou, K C Millett, J H Przytycki, R Ricca, R Sazdanovic), Springer Proc. Math. Stat. 284, Springer (2019) 1 MR3986038
11 É Ghys, Knots and dynamics, from: "International Congress of Mathematicians, I" (editors M Sanz-Solé, J Soria, J L Varona, J Verdera), Eur. Math. Soc., Zürich (2007) 247 MR2334193
12 J Guckenheimer, R F Williams, Structural stability of Lorenz attractors, Inst. Hautes Études Sci. Publ. Math. (1979) 59 MR556582
13 J A Rodríguez-Migueles, A lower bound for the volumes of complements of periodic geodesics, J. Lond. Math. Soc. (2) 102 (2020) 695 MR4171431
14 J A Rodríguez-Migueles, Periods of continued fractions and volumes of modular knots complements, J. Knot Theory Ramifications 32 (2023) 2350063 MR4663922
15 C Series, The modular surface and continued fractions, J. London Math. Soc. (2) 31 (1985) 69 MR810563
16 W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
17 W Tucker, A rigorous ODE solver and Smale’s 14th problem, Found. Comput. Math. 2 (2002) 53 MR1870856
18 R F Williams, The structure of Lorenz attractors, Inst. Hautes Études Sci. Publ. Math. (1979) 73 MR556583