Geometry Festival Seminar
Friday, April 27, 2012, 3:00pm, 128 Physics
John Etnyre (Georgia Institute of Technology)
Surgery and Tight Contact Structures
Abstract:
One of the fundamental problems in 3-dimensional contact geometry is the construction of tight contact structures on closed manifolds. Two obvious ways to try to construct such structures are via Legendrian surgery and admissible transverse surgery. It was long thought that when performed on a closed tight contact manifold these operations would yield a tight contact manifold. We show that this is not true for admissible transverse surgery. Along the way we discuss the relations between these two surgery operations and construct some contact structures with interesting properties. [video]

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