Categorification of invariants in gauge theory and symplectic geometry

DOI10.1007/s11537-017-1622-9zbMath1394.57030arXiv1703.00603OpenAlexW2592198805MaRDI QIDQ1744819

Kenji Fukaya

Publication date: 19 April 2018

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00603

zbMATH Keywords

Floer homologygauge theoryLagrangian submanifoldYang-Mills equationpseudo-holomorphic curve\({A_{\infty}}\)-category

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Topological quantum field theories (aspects of differential topology) (57R56) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (5)

Yang–Mills theories on geometric spaces ⋮ A compactness theorem for \(SO(3)\) anti-self-dual equation with translation symmetry ⋮ \(T\)-equivariant disc potential and SYZ mirror construction ⋮ Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations ⋮ Kenji Fukaya

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