It takes the average reader and 12 minutes to read Lagrangian Intersection Floer Theory by Kenji Fukaya
Assuming a reading speed of 250 words per minute. Learn more
This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $A_\infty$ algebras and $A_\infty$ bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.
Lagrangian Intersection Floer Theory by Kenji Fukaya is 12 pages long, and a total of 3,024 words.
This makes it 4% the length of the average book. It also has 4% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes and 16 minutes to read Lagrangian Intersection Floer Theory aloud.
Lagrangian Intersection Floer Theory is suitable for students ages 6 and up.
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