Web Theory And Related Topics

An overview of developments in web theory. After providing a survey of webs in differential geometry and algebraic geometry, it presents results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory.

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This book provides an overview of recent developments in web theory. Webs (i.e. families of foliations in general position) appear in many different fields of mathematics (differential geometry, algebraic geometry, differential equations, symplectic geometry, etc.) and physics (mechanics, geometrical optics, etc.). After giving a survey on webs in differential geometry and algebraic geometry, the book presents new results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory.