Algebraic & Geometric Topology Volume 14, issue 5 (2014)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Operations on open book foliations

Tetsuya Ito and Keiko Kawamuro

Algebraic & Geometric Topology 14 (2014) 2983–3020

DOI: 10.2140/agt.2014.14.2983

Bibliography

1	D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference", Astérisque 107, Soc. Math. France (1983) 87 MR753131
2	J S Birman, E Finkelstein, Studying surfaces via closed braids, J. Knot Theory Ramifications 7 (1998) 267 MR1625362
3	J S Birman, W W Menasco, Studying links via closed braids, IV: Composite links and split links, Invent. Math. 102 (1990) 115 MR1069243
4	J S Birman, W W Menasco, Studying links via closed braids, II: On a theorem of Bennequin, Topology Appl. 40 (1991) 71 MR1114092
5	J S Birman, W W Menasco, Studying links via closed braids, I: A finiteness theorem, Pacific J. Math. 154 (1992) 17 MR1154731
6	J S Birman, W W Menasco, Studying links via closed braids, V: The unlink, Trans. Amer. Math. Soc. 329 (1992) 585 MR1030509
7	J S Birman, W W Menasco, Studying links via closed braids, VI: A nonfiniteness theorem, Pacific J. Math. 156 (1992) 265 MR1186805
8	J S Birman, W W Menasco, Studying links via closed braids, III: Classifying links which are closed $3$–braids, Pacific J. Math. 161 (1993) 25 MR1237139
9	J S Birman, W W Menasco, Erratum: “Studying links via closed braids, IV: Composite links and split links” [Invent. Math. 102 (1990) 115–139], Invent. Math. 160 (2005) 447 MR2138073
10	J S Birman, W W Menasco, Stabilization in the braid groups, I: MTWS, Geom. Topol. 10 (2006) 413 MR2224463
11	J S Birman, W W Menasco, Stabilization in the braid groups, II: Transversal simplicity of knots, Geom. Topol. 10 (2006) 1425 MR2255503
12	I Dynnikov, M Prasolov, Bypasses for rectangular diagrams, proof of Jones' conjecture and related questions, arXiv:1206.0898
13	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
14	D Gabai, U Oertel, Essential laminations in $3$–manifolds, Ann. of Math. 130 (1989) 41 MR1005607
15	E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
16	K Honda, On the classification of tight contact structures, I, Geom. Topol. 4 (2000) 309 MR1786111
17	K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, Invent. Math. 169 (2007) 427 MR2318562
18	T Ito, K Kawamuro, Essential open book foliation and fractional Dehn twist coefficient, arXiv:1208.1559
19	T Ito, K Kawamuro, Open book foliations, Geom. Topol. 18 (2014) 1581
20	T Ito, K Kawamuro, Visualizing overtwisted discs in open books, Publ. Res. Inst. Math. Sci. 50 (2014) 169 MR3167583
21	D J LaFountain, On the uniform thickness property and contact geometric knot theory, PhD thesis, State University of New York at Buffalo (2010) MR2753235
22	H R Morton, Closed braids which are not prime knots, Math. Proc. Cambridge Philos. Soc. 86 (1979) 421 MR542687
23	W P Thurston, A norm for the homology of $3$–manifolds, Mem. Amer. Math. Soc. 339, Amer. Math. Soc. (1986) MR823443