• Corpus ID: 14652889

Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions

  title={Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions},
  author={Jake Solomon},
  journal={arXiv: Symplectic Geometry},
  • J. Solomon
  • Published 18 June 2006
  • Mathematics
  • arXiv: Symplectic Geometry
We define a new family of open Gromov-Witten type invariants based on intersection theory on the moduli space of pseudoholomorphic curves of arbitrary genus with boundary in a Lagrangian submanifold. We assume the Lagrangian submanifold arises as the fixed points of an anti-symplectic involution and has dimension 2 or 3. In the strongly semi-positive genus 0 case, the new invariants coincide with Welschinger's invariant counts of real pseudoholomorphic curves. Furthermore, we calculate the new… 
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