2023/11/01 by Avdek, Russell · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2311.00435
A stabilization operation is defined for codimension 2 contact submanifolds in dim ≥ 5 contact manifolds (M, ξ). The definition is such that (1) a given (M, ξ) is overtwisted iff its standard transverse unknot is stabilized and (2) transverse stabilization preserves the formal contact isotopy class and intrinsic contact structure of a link. We prove that many transverse links are non-simple.