I argue that the Fukaya category must be enlarged with non-Lagrangian
objects in order to agree with the physical notion of an A-brane, and with the
Homological Mirror Conjecture. Examples of non-Lagrangian A-branes are
provided by coisotropic submanifolds equipped with extra structure.
I discuss how to generalize the Floer homology to coisotropic A-branes.
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