Kenji Fukaya

DOI10.1215/21562261-2021-0014zbMath1468.01011OpenAlexW4205569818MaRDI QIDQ2038533

Yanyan Li

Publication date: 7 July 2021

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/21562261-2021-0014

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Biographies, obituaries, personalia, bibliographies (01A70) Festschriften (00B30) Proceedings, conferences, collections, etc. pertaining to differential geometry (53-06) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06)

Cites Work

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• Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
• Pseudo holomorphic curves in symplectic manifolds
• Morse theory for Lagrangian intersections
• The fundamental groups of almost nonnegatively curved manifolds
• Arnold conjecture and Gromov-Witten invariant
• Simple homotopy equivalence of nearby Lagrangians
• Categorification of invariants in gauge theory and symplectic geometry
• An instanton-invariant for 3-manifolds
• Floer homology of connected sum of homology 3-spheres
• Exact Lagrangian submanifolds in simply-connected cotangent bundles
• Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
• Homological Algebra of Mirror Symmetry
• Chain level loop bracket and pseudo‐holomorphic disks
• Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations
• Family Floer cohomology and mirror symmetry

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