Kuranishi Structures and Virtual Fundamental Chains

DOI10.1007/978-981-15-5562-6zbMath1482.53002OpenAlexW3131932997MaRDI QIDQ5119144

Kaoru Ono, Kenji Fukaya, Hiroshi Ohta, Yong-Geun Oh

Publication date: 3 September 2020

Published in: Springer Monographs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-5562-6

zbMATH Keywords

symplectic topologyFloer cohomologypseudo-holomorphic curveKuranishi structurevirtual fundamental chain

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Differential complexes (58J10) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Topology and geometry of orbifolds (57R18) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (11)

Lie groupoids, deformation of unstable curves, and construction of equivariant Kuranishi charts ⋮ Point-like bounding chains in open Gromov-Witten theory ⋮ Construction of a linear K-system in Hamiltonian Floer theory ⋮ A note on disk counting in toric orbifolds ⋮ On the fundamental group of compact Kähler orbifolds with nef anti-canonical bundle ⋮ Semi-global Kuranishi charts and the definition of contact homology ⋮ Twisted sectors for Lagrangian Floer theory on symplectic orbifolds ⋮ Hamiltonian no-torsion ⋮ Construction of Kuranishi structures on the moduli spaces of pseudo-holomorphic disks. II ⋮ Categorical mirror symmetry on cohomology for a complex genus 2 curve ⋮ Virtual neighborhood technique for moduli spaces of holomorphic curves

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