Bypass attachments in higher-dimensional contact topology

Abstract

We initiate a systematic study of convex hypersurface theory and generalize the bypass attachment to arbitrary dimensions. We also introduce a new type of overtwisted object called the overtwisted orange which is middle-dimensional and contractible.

61 pages, 21 figures; updated reference

References in corpus (4)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Right-veering diffeomorphisms of compact surfaces with boundary II
• The plastikstufe - a generalization of the overtwisted disk to higher dimensions
• Legendrian Fronts for Affine Varieties

Cited by in corpus (7)

• Convex hypersurface theory in contact topology
• Algebraic Torsion in higher-dimensional contact manifolds
• Contact surgery and symplectic caps
• Getting a handle on contact manifolds
• Generalizations of planar contact manifolds to higher dimensions
• Applications of higher-dimensional Heegaard Floer homology to contact topology
• Existence of coLegendrians in contact $5$-manifolds