[QSMS Symplectic geometry seminar-20240812] Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings

Title:  Exact Lagrangian tori in symplectic Milnor fibers constructed with fillings

Abstract:  Weinstein domains are an important class of symplectic 4-manifolds with contact boundary that include disk cotangent bundles, and complex affine varieties. They are Liouville domains with a compatible Morse function whose symplectic topology is described by a corresponding handle body decomposition. A Weinstein handlebody decomposition can be encoded by a collection of Legendrian links in the boundary of the connected sum of $S^1times S^2$ with the standard contact structure. Thus, for Weinstein 4-manifolds with explicit handlebody decompositions, the study of their symplectic topology can be reduced to the study of Legendrian links.