Volume 19, issue 6 (2019)

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Quasi-right-veering braids and nonloose links

Tetsuya Ito and Keiko Kawamuro

Algebraic & Geometric Topology 19 (2019) 2989–3032
Bibliography
1 K L Baker, S Onaran, Nonlooseness of nonloose knots, Algebr. Geom. Topol. 15 (2015) 1031 MR3342684
2 J A Baldwin, J E Grigsby, Categorified invariants and the braid group, Proc. Amer. Math. Soc. 143 (2015) 2801 MR3336606
3 J A Baldwin, D S Vela-Vick, V Vértesi, On the equivalence of Legendrian and transverse invariants in knot Floer homology, Geom. Topol. 17 (2013) 925 MR3070518
4 D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, I", Astérisque 107, Soc. Mat. de France (1983) 87 MR753131
5 J S Birman, E Finkelstein, Studying surfaces via closed braids, J. Knot Theory Ramifications 7 (1998) 267 MR1625362
6 J S Birman, W W Menasco, Stabilization in the braid groups, II : Transversal simplicity of knots, Geom. Topol. 10 (2006) 1425 MR2255503
7 V Colin, K Honda, Reeb vector fields and open book decompositions, J. Eur. Math. Soc. 15 (2013) 443 MR3017043
8 Y Eliashberg, Classification of overtwisted contact structures on 3–manifolds, Invent. Math. 98 (1989) 623 MR1022310
9 Y Eliashberg, M Fraser, Topologically trivial Legendrian knots, J. Symplectic Geom. 7 (2009) 77 MR2496415
10 J Epstein, D Fuchs, M Meyer, Chekanov–Eliashberg invariants and transverse approximations of Legendrian knots, Pacific J. Math. 201 (2001) 89 MR1867893
11 J B Etnyre, Lectures on open book decompositions and contact structures, from: "Floer homology, gauge theory, and low-dimensional topology" (editors D A Ellwood, P S Ozsváth, A I Stipsicz, Z Szabó), Clay Math. Proc. 5, Amer. Math. Soc. (2006) 103 MR2249250
12 J B Etnyre, On knots in overtwisted contact structures, Quantum Topol. 4 (2013) 229 MR3073563
13 J B Etnyre, K Honda, Knots and contact geometry, I : Torus knots and the figure eight knot, J. Symplectic Geom. 1 (2001) 63 MR1959579
14 J B Etnyre, D S Vela-Vick, Torsion and open book decompositions, Int. Math. Res. Not. 2010 (2010) 4385 MR2737776
15 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
16 E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
17 E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
18 K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, Invent. Math. 169 (2007) 427 MR2318562
19 K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, II, Geom. Topol. 12 (2008) 2057 MR2431016
20 T Ito, K Kawamuro, Open book foliation, Geom. Topol. 18 (2014) 1581 MR3228459
21 T Ito, K Kawamuro, Operations on open book foliations, Algebr. Geom. Topol. 14 (2014) 2983 MR3276852
22 T Ito, K Kawamuro, Visualizing overtwisted discs in open books, Publ. Res. Inst. Math. Sci. 50 (2014) 169 MR3167583
23 T Ito, K Kawamuro, Overtwisted discs in planar open books, Internat. J. Math. 26 (2015) MR3327490
24 T Ito, K Kawamuro, Coverings of open books, from: "Advances in the mathematical sciences" (editors G Letzter, K Lauter, E Chambers, N Flournoy, J E Grigsby, C Martin, K Ryan, K Trivisa), Assoc. Women Math. Ser. 6, Springer (2016) 139 MR3654494
25 T Ito, K Kawamuro, Essential open book foliations and fractional Dehn twist coefficient, Geom. Dedicata 187 (2017) 17 MR3622682
26 T Ito, K Kawamuro, The defect of Bennequin–Eliashberg inequality and Bennequin surfaces, Indiana Univ. Math. J. 68 (2019) 799
27 D J LaFountain, W W Menasco, Braid foliations in low-dimensional topology, 185, Amer. Math. Soc. (2017) MR3702003
28 Y Mitsumatsu, A Mori, On Bennequin’s isotopy lemma, MR2284791
29 E Pavelescu, Braids and open book decompositions, PhD thesis, University of Pennsylvania (2008) MR2711619
30 E Pavelescu, Braiding knots in contact 3–manifolds, Pacific J. Math. 253 (2011) 475 MR2878820
31 O Plamenevskaya, Braid monodromy, orderings and transverse invariants, Algebr. Geom. Topol. 18 (2018) 3691 MR3868232
32 W P Thurston, H E Winkelnkemper, On the existence of contact forms, Proc. Amer. Math. Soc. 52 (1975) 345 MR375366