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Geometric constructions of mapping cones in the Fukaya Category

  • Author(s): Fang, Kuan-Ying
  • Advisor(s): Auroux, Denis
  • et al.
Abstract

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.

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