Stabilization of divisors in high-dimensional contact manifolds
Abstract
A stabilization operation is defined for codimension 2 contact submanifolds in ≥ 5 contact manifolds (M, ). The definition is such that (1) a given (M, ) 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.
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