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Geometric triangulations of a family of hyperbolic $3$–braids

Barbara Nimershiem

Algebraic & Geometric Topology 23 (2023) 4309–4348
Bibliography
1 I Agol, Ideal triangulations of pseudo-Anosov mapping tori, from: "Topology and geometry in dimension three" (editors W Li, L Bartolini, J Johnson, F Luo, R Myers, J H Rubinstein), Contemp. Math. 560, Amer. Math. Soc. (2011) 1 MR2866919
2 J Birman, I Kofman, A new twist on Lorenz links, J. Topol. 2 (2009) 227 MR2529294
3 B A Burton, R Budney, W Pettersson, others, Regina: software for low-dimensional topology, (1999)
4 M Culler, N M Dunfield, M Goerner, J R Weeks, SnapPy : a computer program for studying the geometry and topology of 3–manifolds, (2016)
5 D Futer, F Guéritaud, From angled triangulations to hyperbolic structures, from: "Interactions between hyperbolic geometry, quantum topology and number theory" (editors A Champanerkar, O Dasbach, E Kalfagianni, I Kofman, W Neumann, N Stoltzfus), Contemp. Math. 541, Amer. Math. Soc. (2011) 159 MR2796632
6 D Futer, F Guéritaud, Explicit angle structures for veering triangulations, Algebr. Geom. Topol. 13 (2013) 205 MR3031641
7 D Futer, E Kalfagianni, J S Purcell, Cusp areas of Farey manifolds and applications to knot theory, Int. Math. Res. Not. 2010 (2010) 4434 MR2739802
8 A Giannopoulos, S Schleimer, H Segerman, A census of veering structures, (2019)
9 F Guéritaud, On canonical triangulations of once-punctured torus bundles and two-bridge link complements, Geom. Topol. 10 (2006) 1239 MR2255497
10 F Guéritaud, S Schleimer, Canonical triangulations of Dehn fillings, Geom. Topol. 14 (2010) 193 MR2578304
11 S L Ham, J S Purcell, Geometric triangulations and highly twisted links, Algebr. Geom. Topol. 23 (2023) 1399 MR4598810
12 C D Hodgson, J H Rubinstein, H Segerman, S Tillmann, Veering triangulations admit strict angle structures, Geom. Topol. 15 (2011) 2073 MR2860987
13 J Milnor, Hyperbolic geometry : the first 150 years, Bull. Amer. Math. Soc. 6 (1982) 9 MR634431
14 G D Mostow, Strong rigidity of locally symmetric spaces, 78, Princeton Univ. Press (1973) MR385004
15 B Nimershiem, Regina data file (2021)
16 U Pachner, P.L. homeomorphic manifolds are equivalent by elementary shellings, European J. Combin. 12 (1991) 129 MR1095161
17 G Prasad, Strong rigidity of Q–rank 1 lattices, Invent. Math. 21 (1973) 255 MR385005
18 I Rivin, Euclidean structures on simplicial surfaces and hyperbolic volume, Ann. of Math. 139 (1994) 553 MR1283870
19 M Sakuma, J Weeks, Examples of canonical decompositions of hyperbolic link complements, Japan. J. Math. 21 (1995) 393 MR1364387
20 W P Thurston, Geometry and topology of three-manifolds, lecture notes (1980)
21 P Tol, Colour schemes and templates: qualitative colour schemes, (2021)