Book Review: Fukaya categories and Picard-Lefschetz theory

DOI10.1090/S0273-0979-10-01289-9zbMath1292.00039WikidataQ56851571 ScholiaQ56851571MaRDI QIDQ5494760

Ivan Smith

Publication date: 29 July 2014

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Differential graded algebras and applications (associative algebraic aspects) (16E45) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Pseudoholomorphic curves (32Q65) External book reviews (00A17)

Cites Work

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• Pseudo holomorphic curves in symplectic manifolds
• Morse theory for Lagrangian intersections
• The topology of complex projective varieties after S. Lefschetz
• Holomorphic disks and topological invariants for closed three-manifolds
• A combinatorial description of knot Floer homology
• Homological mirror symmetry for the quartic surface
• Homological Mirror Symmetry for the genus two curve
• Morse Theory. (AM-51)
• Homological Algebra of Mirror Symmetry

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