Geometric constructions of mapping cones in the Fukaya Category
- Author(s): Fang, Kuan-Ying
- Advisor(s): Auroux, Denis
- et al.
We present two geometric constructions of Lagrangian surgeries between two Lagrangian submanifolds intersecting cleanly along a 1-dimensional submanifold. We show in a concrete example in 4-dimensions that the two constructions are isomorphic in the Fukaya Category and represent a mapping cone.