Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves

  • Kenji Fukaya
Part of the Progress in Mathematics book series (PM, volume 279)


In this article the author describes a general framework to establish foundation of various topological field theories. By taking the case of Lagrangian Floer theory as an example, we explain it in a way so that it is applicable to many similar situations including, for example, the case of ‘symplectic field theory’. The results of this article is not really new in the sense that its proof was already written in (33), in detail. However several statements are formulated here, for the first time. Especially the relation to the theory of operad is clarified.


Modulus Space String Topology Loop Space Morse Function Lagrangian Submanifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsKyoto University, KitashirakawaSakyo-kuJapan

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