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

by qsms posted Aug 10, 2024
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일정시작 2024-08-12
일정종료 2024-08-12
배경색상 #FF5733
  • Date:  2024-08-12 (Mon)  14:00 ~ 15:00
  • Place:  129-406 (SNU)
  • Speaker:  Orsola Capovilla-Searles  (UC Davis)
  • 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.

 


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