Invariance of immersed Floer cohomology under Lagrangian surgery

5 Mar 2019 Joseph Palmer Chris Woodward

We show that cellular Floer cohomology of an immersed Lagrangian brane is invariant under smoothing of a self-intersection point if the quantum valuation of the weakly bounding cochain vanishes and the Lagrangian has dimension at least two. The chain-level map replaces the two orderings of the self-intersection point with meridianal and longitudinal cells on the handle created by the surgery, and uses a bijection between holomorphic disks developed by Fukaya-Oh-Ohta-Ono... (read more)

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Categories


  • SYMPLECTIC GEOMETRY
  • 53D40