Paul Seidel

Families of objects in Fukaya categories



Abstract

In any category, one can try to move objects in the direction indicated by some global deformation class. An example would be to move points on a manifold in the direction of a vector field. As this example shows, the existence of global deformations is a tricky issue involving some form of compactness, but uniqueness is more robust an easier to obtain. I will apply this idea to Fukaya categories, and compare the result with known phenomena in symplectic topology.