2022/06/13 by Filip Živanović, Živanović, Filip
Mathematics · #14J42 #53D12 #53D40 (Primary) 53D20 (Secondary) #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Symplectic Geometry (math.SG) #math.AG #math.DG #math.RT #math.SG #msc:14J42 #msc:53D12 #msc:53D20 #msc:53D40
paper · pdf · doi:10.48550/arxiv.2206.06361
46 pages
arxiv created 2022/06/13 · openalex publication_date 2022/06/13 · arxiv updated 2022/06/14 · openalex created_date 2022/06/16 · openalex updated_date 2026/07/28
We obtain families of non-isotopic closed exact Lagrangian submanifolds in quasi-projective holomorphic symplectic manifolds that admit contracting ℂ^*-actions. We show that the Floer cohomologies of these Lagrangians are topological in nature, recovering the ordinary cohomologies of their intersection. Moreover, by using these Lagrangians and a version of Carrell-Goresky's integral decomposition theorem, we obtain degree-wise lower bounds on the symplectic cohomology of these spaces.