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A plethora of exotic Stein manifolds

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  • UserMohammed Abouzaid, Clay Institute and MIT
  • ClockWednesday 27 April 2011, 16:00-17:00
  • HouseMR13.

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In real dimensions greater than 4, I will explain how a smooth manifold underlying an affine variety admits uncountably many distinct (Wein)stein structures, of which countably many have finite type, and which are distinguished by their symplectic cohomology groups. Starting with a Lefschetz fibration on such a variety, I shall perform an explicit sequence of appropriate surgeries, keeping track of the changes to the Fukaya category and hence, by understanding open-closed maps, obtain descriptions of symplectic cohomology after surgery. (Joint work with P. Seidel.)

This talk is part of the Differential Geometry and Topology Seminar series.

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