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A flexibility result in high-dimensional contact topology
If you have a question about this talk, please contact Ivan Smith.
Stein manifolds which admit a plurisubharmonic Morse function with no top index critical points are known to be flexible (their symplectic properties are essentially topological, governed by an h-principle). Recently, Emmy Murphy has shown that a Legendrian submanifold becomes flexible after an operation called stabilization, and its behavior is again governed by topology. The result I will be talking about shows that a local modification of the contact structure on the level set of a plurisubharmonic function renders all Legendrian submanifolds flexible. In particular this will allow us to take a symplectically non- trivial Stein cobordism, modify it locally to untangle all handle attachments, and render it trivial.
The talk reports on joint work with E. Murphy, O.Plamenevskaya, and A. Stipsicz.
This talk is part of the Differential Geometry and Topology Seminar series.
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