Bypass attachments in higher-dimensional contact topology

2018/03/24 by Honda, Ko, Huang, Yang
#FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1803.09142

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.

Related

• An overtwisted convex hypersurface in higher dimensions
• A bypass in the middle
• Bypass moves in convex hypersurface theory
• Bypass attachments and homotopy classes of 2-plane fields in contact topology
• Contact Surgeries on the Legendrian Figure-Eight Knot