Algebraic & Geometric Topology Volume 24, issue 6 (2024)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Foliated open books

Joan E Licata and Vera Vértesi

Algebraic & Geometric Topology 24 (2024) 3139–3197

DOI: 10.2140/agt.2024.24.3139

Bibliography

1	A Alishahi, V Földvári, K Hendricks, J Licata, I Petkova, V Vértesi, Bordered Floer homology and contact structures, Forum Math. Sigma 11 (2023) MR4575360
2	D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, I", Astérisque 107–108, Soc. Math. France (1983) 87 MR0753131
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	M Borodzik, A Némethi, A Ranicki, Morse theory for manifolds with boundary, Algebr. Geom. Topol. 16 (2016) 971 MR3493413
10	T Etgü, B Ozbagci, On the relative Giroux correspondence, from: "Low-dimensional and symplectic topology" (editor M Usher), Proc. Sympos. Pure Math. 82, Amer. Math. Soc. (2011) 65 MR2768654
11	E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
12	E Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. Math. 141 (2000) 615 MR1779622
13	E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, II" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
14	K Honda, W H Kazez, G Matić, The contact invariant in sutured Floer homology, Invent. Math. 176 (2009) 637 MR2501299
15	T Ito, K Kawamuro, Open book foliation, Geom. Topol. 18 (2014) 1581 MR3228459
16	T Ito, K Kawamuro, Operations on open book foliations, Algebr. Geom. Topol. 14 (2014) 2983 MR3276852
17	T Ito, K Kawamuro, Visualizing overtwisted discs in open books, Publ. Res. Inst. Math. Sci. 50 (2014) 169 MR3167583
18	T Ito, K Kawamuro, On the self-linking number of transverse links, from: "Interactions between low-dimensional topology and mapping class groups" (editors R I Baykur, J Etnyre, U Hamenstädt), Geom. Topol. Monogr. 19, Geom. Topol. Publ. (2015) 157 MR3609907
19	T Ito, K Kawamuro, Overtwisted discs in planar open books, Int. J. Math. 26 (2015) MR3327490
20	T Ito, K Kawamuro, Coverings of open books, from: "Advances in the mathematical sciences", Assoc. Women Math. Ser. 6, Springer (2016) 139 MR3654494
21	T Ito, K Kawamuro, Essential open book foliations and fractional Dehn twist coefficient, Geom. Dedicata 187 (2017) 17 MR3622682
22	T Ito, K Kawamuro, On a question of Etnyre and Van Horn-Morris, Algebr. Geom. Topol. 17 (2017) 561 MR3604385
23	T Ito, K Kawamuro, The defect of the Bennequin–Eliashberg inequality and Bennequin surfaces, Indiana Univ. Math. J. 68 (2019) 799 MR3978257
24	T Ito, K Kawamuro, Positive factorizations of symmetric mapping classes, J. Math. Soc. Japan 71 (2019) 309 MR3909923
25	J Licata, V Vértesi, Partial foliated open books, in preparation
26	E Pavelescu, Braids and open book decompositions, PhD thesis, University of Pennsylvania (2008) MR2711619
27	S Smale, On gradient dynamical systems, Ann. of Math. 74 (1961) 199 MR0133139
28	W P Thurston, H E Winkelnkemper, On the existence of contact forms, Proc. Amer. Math. Soc. 52 (1975) 345 MR0375366
29	I Torisu, Convex contact structures and fibered links in 3–manifolds, Int. Math. Res. Not. 2000 (2000) 441 MR1756943
30	J Van Horn-Morris, Constructions of open book decompositions, PhD thesis, University of Texas at Austin (2007) MR2710779
31	R Zarev, Joining and gluing sutured Floer homology, preprint (2010) arXiv:1010.3496