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Title:
How we shortcut Lagrangian Floer theory in 4 dimensional case
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Abstract:
The Lagrangian Floer theory for general symplectic manifold is rather cumbersome. In case of symplectic manifold of dimension 4 (but without extra assumption) we can shortcut various parts. I propose to explain how and how much it can be simplified in this case. For example: 1. A infinity algebra is defined over Z always. 2. Floer homology between a Lagrangian submanifold L and itself is always defined. 3. The obstruction for Floer homology between two different Lagrangian submanifolds to be defined is described by a single function on H^1. (1 hour long talk)
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