Categorification of invariants in gauge theory and symplectic geometry

@article{Fukaya2017CategorificationOI,
  title={Categorification of invariants in gauge theory and symplectic geometry},
  author={Kenji Fukaya},
  journal={Japanese Journal of Mathematics},
  year={2017},
  volume={13},
  pages={1-65}
}
  • K. Fukaya
  • Published 2 March 2017
  • Mathematics
  • Japanese Journal of Mathematics
This is a mixture of survey article and research announcement. We discuss instanton Floer homology for 3 manifolds with boundary. We also discuss a categorification of the Lagrangian Floer theory using the unobstructed immersed Lagrangian correspondence as a morphism in the category of symplectic manifolds. During the year 1998–2012, those problems have been studied emphasizing the ideas from analysis such as degeneration and adiabatic limit (instanton Floer homology) and strip shrinking… 
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5 Citations

5 Citations

Categorification of invariants in gauge theory and symplectic geometry

  • K. Fukaya
  • Mathematics
    Japanese Journal of Mathematics
  • 2017
This is a mixture of survey article and research announcement. We discuss instanton Floer homology for 3 manifolds with boundary. We also discuss a categorification of the Lagrangian Floer theory…

Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations

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