Lie bialgebra structure on cyclic cohomology of Fukaya categories

DOI10.1007/s11464-015-0440-8zbMath1408.53111OpenAlexW2030130792MaRDI QIDQ493363

Hai-Long Her, Shanzhong Sun, Xiaojun Chen

Publication date: 3 September 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0440-8

zbMATH Keywords

cyclic cohomologyLie bialgebraFukaya category

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and homology; cyclic homology and cohomology (19D55) Lie bialgebras; Lie coalgebras (17B62) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Cites Work

• A topological model for the Fukaya categories of plumbings
• Quantization of the Lie bialgebra of string topology
• Necklace Lie algebras and noncommutative symplectic geometry.
• Differential forms on loop spaces and the cyclic bar complex
• Topological conformal field theories and Calabi-Yau categories
• A\({}_{\infty}\)-algebras and the cyclic bar complex
• Fukaya categories and Picard-Lefschetz theory
• Noncommutative geometry and compactifications of the moduli space of curves
• Microlocal branes are constructible sheaves
• Cyclic homology and equivariant homology
• Cyclic symmetry and adic convergence in Lagrangian Floer theory
• Exact Lagrangian submanifolds in simply-connected cotangent bundles
• The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• Iterated path integrals
• Homological Algebra of Mirror Symmetry
• Non-commutative symplectic geometry, quiver varieties, and operads
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