| Résume | In this talk I will sketch how to construct some explicit Lefschetz fibrations on cotangent bundles, in the sense that they have explicit and relatively simple fiber and vanishing cycles. This Lefschetz fibration may be thought of as the complexification of a given Morse function on the zero section. I will then discuss how any Lagrangian in the cotangent bundle may be represented in the Fukaya category of this Lefschetz fibration as a certain quiver representation, by applying Seidel's machinery to this case. |
