Algebraic & Geometric Topology Volume 18, issue 7 (2018)

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Notes on open book decompositions for Engel structures

Vincent Colin, Francisco Presas and Thomas Vogel

Algebraic & Geometric Topology 18 (2018) 4275–4303

DOI: 10.2140/agt.2018.18.4275

Bibliography

1	J Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. USA 9 (1923) 93
2	R Casals, J L Pérez, Á del Pino, F Presas, Existence h–principle for Engel structures, Invent. Math. 210 (2017) 417 MR3714508
3	R Casals, Á del Pino, F Presas, Loose Engel structures, preprint (2017) arXiv:1712.09283
4	V Colin, Recollement de variétés de contact tendues, Bull. Soc. Math. France 127 (1999) 43 MR1700468
5	V Colin, Livres ouverts en géométrie de contact (d’après Emmanuel Giroux), from: "Séminaire Bourbaki Vol. 2006/2007", Astérisque 317, Soc. Math. France (2008) 91 MR2487731
6	Y Eliashberg, Classification of overtwisted contact structures on 3–manifolds, Invent. Math. 98 (1989) 623 MR1022310
7	Y Eliashberg, Contact 3–manifolds twenty years since J Martinet’s work, Ann. Inst. Fourier (Grenoble) 42 (1992) 165 MR1162559
8	F Engel, Zur Invariantentheorie der Systeme Pfaffscher Gleichungen, Berichte über d. Verh. d. Sachsischen Gesell. der Wiss. 41, Hirzel (1889) 157
9	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
10	H Geiges, review of montgomery MR1736216
11	H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
12	E Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991) 637 MR1129802
13	E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians" (editor L Tatsien), Higher Ed. Press (2002) 405 MR1957051
14	E Giroux, N Goodman, On the stable equivalence of open books in three-manifolds, Geom. Topol. 10 (2006) 97 MR2207791
15	F Laudenbach, V Poénaru, A note on 4–dimensional handlebodies, Bull. Soc. Math. France 100 (1972) 337 MR0317343
16	T Lawson, Open book decompositions for odd dimensional manifolds, Topology 17 (1978) 189 MR0494132
17	D McDuff, Applications of convex integration to symplectic and contact geometry, Ann. Inst. Fourier (Grenoble) 37 (1987) 107 MR894563
18	D McDuff, D Salamon, Introduction to symplectic topology, Oxford Univ. Press (1998) MR1698616
19	R Montgomery, Engel deformations and contact structures, from: "Northern California symplectic geometry seminar" (editors Y Eliashberg, D Fuchs, T Ratiu, A Weinstein), Amer. Math. Soc. Transl. Ser. 2 196, Amer. Math. Soc. (1999) 103 MR1736216
20	S P Novikov, Pontrjagin classes, the fundamental group and some problems of stable algebra, from: "Essays on topology and related topics" (editors A Haefliger, R Narasimhan), Springer (1970) 147 MR0268907
21	F Presas, Geometric decompositions of almost contact manifolds, from: "Contact and symplectic topology" (editors F Bourgeois, V Colin, A Stipsicz), Bolyai Soc. Math. Stud. 26, János Bolyai Math. Soc. (2014) 137 MR3220942
22	F Quinn, Open book decompositions, and the bordism of automorphisms, Topology 18 (1979) 55 MR528236
23	W P Thurston, H E Winkelnkemper, On the existence of contact forms, Proc. Amer. Math. Soc. 52 (1975) 345 MR0375366
24	T Vogel, Existence of Engel structures, Ann. of Math. 169 (2009) 79 MR2480602
25	H E Winkelnkemper, Manifolds as open books, Bull. Amer. Math. Soc. 79 (1973) 45 MR0310912