The Geometry of A-branes

Anton Kapustin
Caltech / USC

I show that the category of D-branes of type A on a Calabi-Yau manifold may
objects other than Lagrangian submanifolds with flat vector bundles or
their bound states.
Examples of non-Lagrangian A-branes are provided by coisotropic
submanifolds carrying
line bundles of a very special kind. I discuss how to generalize the Floer
homology to coisotropic A-branes.
I also discuss the significance of non-Lagrangian A-branes for the
Homological Mirror Conjecture.

Back to Symplectic Geometry and Physics Workshop III: Symplectic Geometry and String Theory