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Construction of the Kuranishi structure on the moduli space of pseudo-holomorphic curves

PU/IAS Symplectic Geometry Seminar

Construction of the Kuranishi structure on the moduli space of pseudo-holomorphic curves

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Kenji Fukaya, Simons Center for Geometry and Physics
IAS Room S-101

To apply the technique of virtual fundamental cycle (chain) in the study of pseudo-holomorphic curve, we need to construct certain structure, which we call Kuranishi strucuture, on its moduli space. In this talk I want to review certain points of its construction.