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SUMMARY:Exact Calabi-Yau structures and disjoint Lagrangian spheres - Yin 
 Li\, UCL
DTSTART:20191023T150000Z
DTEND:20191023T160000Z
UID:TALK125725@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:An exact CY structure is a special kind of smooth CY structure
  in the sense of Kontsevich-Vlassopoulos. When the wrapped Fukaya category
  of a Weinstein manifold admits an exact CY structure\, there is an induce
 d cohomology class in its 1st degree S^1-equivariant symplectic cohomology
 \, which\, under the marking map\, goes to an invertible element in the de
 g 0 (ordinary) symplectic cohomology. This generalizes the notion of a (qu
 asi-) dilation introduced earlier by Seidel-Solomon. \nWe show that one ca
 n define q-intersection numbers between simply-connected Lagrangian subman
 ifolds in Weinstein manifolds with exact CY wrapped Fukaya categories and 
 prove that there can be only finitely many disjoint Lagrangian spheres in 
 these manifolds.\nThe simplest non-trivial example of a Weinstein manifold
  whose wrapped Fukaya category is exact CY but which does not admit a quas
 i-dilation is the Milnor fiber of a 3-fold triple point studied previously
  by Smith-Thomas.\n
LOCATION:MR13
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