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Examples of nontrivial contact mapping classes for overtwisted contact manifolds in all dimensions

Fabio Gironella

Algebraic & Geometric Topology 19 (2019) 1207–1227
Bibliography
1 M A Aguilar, J L Cisneros-Molina, M E Frías-Armenta, Characteristic classes and transversality, Topology Appl. 154 (2007) 1220 MR2310455
2 M F Atiyah, K–theory, Addison-Wesley (1989) MR1043170
3 M S Borman, Y Eliashberg, E Murphy, Existence and classification of overtwisted contact structures in all dimensions, Acta Math. 215 (2015) 281 MR3455235
4 F Bourgeois, Odd dimensional tori are contact manifolds, Int. Math. Res. Not. 2002 (2002) 1571 MR1912277
5 F Bourgeois, Contact homology and homotopy groups of the space of contact structures, Math. Res. Lett. 13 (2006) 71 MR2200047
6 J Bowden, D Crowley, A I Stipsicz, The topology of Stein fillable manifolds in high dimensions, I, Proc. Lond. Math. Soc. 109 (2014) 1363 MR3293153
7 R Casals, E Murphy, F Presas, Geometric criteria for overtwistedness, J. Amer. Math. Soc. 32 (2019) 563 MR3904160
8 J Cerf, Sur les difféomorphismes de la sphère de dimension trois 4 = 0), 53, Springer (1968) MR0229250
9 F Ding, H Geiges, The diffeotopy group of S1 × S2 via contact topology, Compos. Math. 146 (2010) 1096 MR2660686
10 Y Eliashberg, Classification of overtwisted contact structures on 3–manifolds, Invent. Math. 98 (1989) 623 MR1022310
11 Y Eliashberg, M Fraser, Topologically trivial Legendrian knots, J. Symplectic Geom. 7 (2009) 77 MR2496415
12 H Geiges, Constructions of contact manifolds, Math. Proc. Cambridge Philos. Soc. 121 (1997) 455 MR1434654
13 H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
14 H Geiges, J Gonzalo Perez, On the topology of the space of contact structures on torus bundles, Bull. London Math. Soc. 36 (2004) 640 MR2070440
15 H Geiges, M Klukas, The fundamental group of the space of contact structures on the 3–torus, Math. Res. Lett. 21 (2014) 1257 MR3335846
16 F Gironella, Examples of non-trivial contact mapping classes for overtwisted contact manifolds in all dimensions, preprint (2017) arXiv:1704.07278v2
17 F Gironella, On some examples and constructions of contact manifolds, preprint (2017) arXiv:1711.09800v2
18 F Gironella, On some constructions of contact manifolds, Thèse de doctorat, Université Paris-Saclay (2018)
19 E Giroux, Sur les transformations de contact au-dessus des surfaces, from: "Essays on geometry and related topics, II" (editors É Ghys, P de la Harpe, V F R Jones, V Sergiescu, T Tsuboi), Monogr. Enseign. Math. 38, Enseignement Math. (2001) 329 MR1929332
20 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
21 E Giroux, P Massot, On the contact mapping class group of Legendrian circle bundles, Compos. Math. 153 (2017) 294 MR3604864
22 Y Huang, On plastikstufe, bordered Legendrian open book and overtwisted contact structures, J. Topol. 10 (2017) 720 MR3665409
23 S Lanzat, F Zapolsky, On the contact mapping class group of the contactization of the Am–Milnor fiber, Ann. Math. Qué. 42 (2018) 79 MR3777507
24 S Lisi, A Marinković, K Niederkrüger, On properties of Bourgeois contact structures, preprint (2018) arXiv:1801.00869
25 A Marinković, M Pabiniak, On displaceability of pre-Lagrangian toric fibers in contact toric manifolds, Internat. J. Math. 27 (2016) MR3593675
26 P Massot, Natural fibrations in contact topology, preprint (2015)
27 P Massot, K Niederkrüger, Examples of non-trivial contact mapping classes in all dimensions, Int. Math. Res. Not. 2016 (2016) 4784 MR3564627
28 P Massot, K Niederkrüger, C Wendl, Weak and strong fillability of higher dimensional contact manifolds, Invent. Math. 192 (2013) 287 MR3044125
29 A Mori, Reeb foliations on S5 and contact 5–manifolds violating the Thurston–Bennequin inequality, preprint (2015) arXiv:0906.3237v3
30 K Niederkrüger, F Presas, Some remarks on the size of tubular neighborhoods in contact topology and fillability, Geom. Topol. 14 (2010) 719 MR2602849
31 T Vogel, Non-loose unknots, overtwisted discs, and the contact mapping class group of S3, Geom. Funct. Anal. 28 (2018) 228 MR3777417