In mathematics, especially in topology, a Kuranishi structure is a smooth analogue of scheme structure. If a topological space is endowed with a Kuranishi structure, then locally it can be identified with the zero set of a smooth map , or the quotient of such a zero set by a finite group. Kuranishi structures were introduced by Japanese mathematicians Kenji Fukaya and Kaoru Ono in the study of Gromov–Witten invariants and Floer homology in symplectic geometry, and were named after Masatake Kuranishi. (Wikipedia).
Packaging the construction of Kuranishi structure - Kenji Fukaya
Princeton/IAS Symplectic Geometry Seminar Topic: Packaging the construction of Kuranishi structure on the moduli space of pseudo-holomorphic curve Speaker: Kenji Fukaya Affiliation: Stonybrook University Date: October 4, 2016
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Construction of the Kuranishi Structure on the Moduli Space of Pseudo-Holomorphic... - Kenji Fukaya
Kenji Fukaya Simons Center for Geometry and Physics April 12, 2013 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 r
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Equivariant Kuranishi structure and its (potential) applications - Kenji Fukaya
Workshop on Homological Mirror Symmetry: Methods and Structures Speaker: Kenji Fukaya Title: Equivariant Kuranishi structure and its (potential) applications Affiliation: Stonybrook University Date: November 11, 2016 For more video, visit http://video.ias.edu
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Kuranishi Structures and Gromov-Witten Moduli Spaces, Part IV - Dusa McDuff
Dusa McDuff Columbia University March 7, 2012 For more videos, visit http://video.ias.edu
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Kuranishi Structures and Gromov-Witten Moduli Spaces, Part II - Dusa McDuff
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From playlist Competitive Maths
L. Meersseman - Kuranishi and Teichmüller
Abstract - Let X be a compact complex manifold. The Kuranishi space of X is an analytic space which encodes every small deformation of X. The Teichmüller space is a topological space formed by the classes of compact complex manifolds diffeomorphic to X up to biholomorphisms smoothly isotop
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