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An overtwisted convex hypersurface in higher dimensions

River Chiang and Klaus Niederkrüger-Eid

Algebraic & Geometric Topology 25 (2025) 3813–3831
Bibliography
1 J Adachi, Plastikstufe with toric core, preprint (2016) arXiv:1609.00837
2 M S Borman, Y Eliashberg, E Murphy, Existence and classification of overtwisted contact structures in all dimensions, Acta Math. 215 (2015) 281 MR3455235
3 R Casals, E Murphy, F Presas, Geometric criteria for overtwistedness, J. Amer. Math. Soc. 32 (2019) 563 MR3904160
4 K Dymara, Legendrian knots in overtwisted contact structures on S3, Ann. Global Anal. Geom. 19 (2001) 293 MR1828083
5 Y Eliashberg, Classification of overtwisted contact structures on 3-manifolds, Invent. Math. 98 (1989) 623 MR1022310
6 Y Eliashberg, Classification of contact structures on 3, Int. Math. Res. Not. 1993 (1993) 87 MR1208828
7 J B Etnyre, On knots in overtwisted contact structures, Quantum Topol. 4 (2013) 229 MR3073563
8 Y Huang, On plastikstufe, bordered Legendrian open book and overtwisted contact structures, J. Topol. 10 (2017) 720 MR3665409
9 P Massot, Sur quelques aspects riemanniens des structures de contact en dimension trois, PhD thesis, École Normale Supérieure de Lyon (2008)
10 J Milnor, Morse theory, 51, Princeton Univ. Press (1963) MR163331
11 E Murphy, Loose Legendrian embeddings in high dimensional contact manifolds, preprint (2012) arXiv:1201.2245
12 E Murphy, K Niederkrüger, O Plamenevskaya, A I Stipsicz, Loose Legendrians and the plastikstufe, Geom. Topol. 17 (2013) 1791 MR3073936
13 K Niederkrüger, The plastikstufe: a generalization of the overtwisted disk to higher dimensions, Algebr. Geom. Topol. 6 (2006) 2473 MR2286033
14 K Niederkrüger, On fillability of contact manifolds, habilitation à diriger des recherches, Université Paul Sabatier (2013)
15 K Niederkrüger, F Presas, Some remarks on the size of tubular neighborhoods in contact topology and fillability, Geom. Topol. 14 (2010) 719 MR2602849