Titlebook: Geometrical Themes Inspired by the N-body Problem; Luis Hernández-Lamoneda,Haydeé Herrera,Rafael Herr Book 2018 Springer International Pub

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Complex Differential Equations and Geometric Structures on Curves,tial Geometry” at CIMAT, in Guanajuato, Mexico, in 2015. We use geometric structures on curves as a setting to present some historical results of the theory and as a tool for a better understanding of some classical equations.

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Textbook May 1991Latest edition of the blown-up and reduced phase space for the planar N-body problem, . ≥ 3 as a complex vector bundle over .. We end by returning to the angular momentum zero case where we conjecture the answer is ‘no’. We support this conjecture by recent work of Jackman and Rose (The Binary Returns!. arxiv:151

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0075-8434 of energy-balance in order to motivate the McGehee transformation.   ..A. Pedroza’s notes provide a brief introduction to Lagrangian Floer homology and its relation to the solution of the Arnol’d conjecture on978-3-319-71427-1978-3-319-71428-8Series ISSN 0075-8434 Series E-ISSN 1617-9692

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0075-8434 exposition of the state of the art on the subject, with an ePresenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, mak

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Book 2018s to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references...A. Guillot’s notes aim to describe differential equations in the complex domain, motivated by the evolution of N particles moving o

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A Quick View of Lagrangian Floer Homology,rder to sketch some aspects of Morse theory. Introduction to the basics concepts of symplectic geometry are also included with the idea of understanding the statement of the Arnol’d Conjecture and how it is related to the intersection of Lagrangian submanifolds.