Topology

Kuranishi structure

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).

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Packaging the construction of Kuranishi structure - Kenji Fukaya

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Construction of the Kuranishi Structure on the Moduli Space of Pseudo-Holomorphic... - Kenji Fukaya

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Equivariant Kuranishi structure and its (potential) applications - Kenji Fukaya

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Kuranishi Structures and Gromov-Witten Moduli Spaces, Part IV - Dusa McDuff

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Related pages

Compact space | Gromov–Witten invariant | Riemann surface | Scheme (mathematics) | Topological space | Masatake Kuranishi | Orbifold | Cauchy–Riemann equations | Chern class | Homeomorphism | Symplectic manifold | Topology | Floer homology | Fundamental class