Cover of: Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology (NATO Science Series II: Mathematics, Physics and Chemistry) (NATO Science Series II: Mathematics, Physics and Chemistry) |

Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology (NATO Science Series II: Mathematics, Physics and Chemistry) (NATO Science Series II: Mathematics, Physics and Chemistry)

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  • English

Springer
Mathematics and Science, Science/Mathematics, Geometry - Differential, Mathematics, Differential Equations, Linear Programming, Mathematics / Geometry / Differential, Congresses, Morse theory, Symplectic and contact top
ContributionsPaul Biran (Editor), Octav Cornea (Editor), François Lalonde (Editor)
The Physical Object
FormatHardcover
ID Numbers
Open LibraryOL9699787M
ISBN 101402042728
ISBN 139781402042720

Introduction. The papers collected in this volume are contributions to the 43rd session of the Seminaire ´ de mathematiques ´ superieures ´ (SMS) on “Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology.”.

This session took place at the Universite ´ de Montreal ´ in July and was a NATO Advanced Study Institute (ASI). The papers collected in this volume are contributions to the 43rd session of the Seminaire ´ de mathematiques ´ superieures ´ (SMS) on “Morse Theoretic Methods in Nonlinear Analysis and Symplectic Topology.”.

Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology Paul Biran This volume contains contributions to the Séminaire de Mathématiques Supérieures – NATO Advanced Study Institute on "Morse theoretic Methods in non-linear Analysis and Symplectic Topology" which was held at the Université de Montréal in the summer of This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems.

The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators.

In the classical setting of algebraic topology this is done by constructing a moduli space of graph flows, using homotopy theoretic methods to construct a virtual fundamental class, and evaluating cohomology classes on this fundamental by: The three Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology book present a few prerequisites in differential geometry, algebraic topology and analysis.

The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate by: This book is an introduction to modern methods of symplectic topology.

It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold.

from book Morse theoretic methods in nonlinear analysis and in symplectic topology. Proceedings of the NATO Advanced Study Institute, Montréal, Canada. barraud jf., cornea o. () homotopical dynamics in symplectic topology. In: Biran P., Cornea O., Lalonde F. (eds) Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology.

NATO Science Series II: Mathematics, Physics and Chemistry, vol Cited by: 6. viterbo c. () symplectic topology and hamilton– jacobi equations. In: Biran P., Cornea O., Lalonde F. (eds) Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology.

NATO Science Series II: Mathematics, Physics and Chemistry, vol Cited by: 7. ALBERTO ABBONDANDOLO and PIETRO MAJER, LECTURES ON THE MORSE COMPLEX FOR INFINITE-DIMENSIONAL MANIFOLDS, Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, /_01, (), ().Cited by: from book Morse theoretic methods in nonlinear analysis and in symplectic topology.

Proceedings of the NATO Advanced Study Institute, Montréal, Canada, July (pp) SYMPLECTIC TOPOLOGY Author: Claude Viterbo. SIAM Journal on Control and Optimization Topology and Motion Planning Algorithms in Robotics. Progress in Industrial Mathematics at ECMIMorse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, Cited by: "Morse function" redirects here.

In another context, a "Morse function" can also mean an anharmonic oscillator see Morse potential.

Description Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology (NATO Science Series II: Mathematics, Physics and Chemistry) (NATO Science Series II: Mathematics, Physics and Chemistry) PDF

In mathematics, specifically in differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold. According to the basic insights of Marston Morse, a typical differentiable function on a.

Proceedings of the NATO Advanced Study Institute on Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, held in Montreal, Canada, from 21 June to 2 July Rating: (not yet rated) 0 with reviews - Be the first.

abbondandolo a., schwarz m. () notes on floer homology and loop space homology. In: Biran P., Cornea O., Lalonde F. (eds) Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology. NATO Science Series II: Mathematics, Physics and Chemistry, vol Cited by: Morse theoretic methods in nonlinear analysis and in symplectic topology.

Dordrecht, Netherlands: Springer, © (DLC) (OCoLC) Material Type: Conference publication, Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Paul Biran; O Cornea; François Lalonde. Morse Theoretical Methods Kung-ching Chang (Beijing) Nonlinear Analysis Jean van Schaftingen (Louvain) Ordinary Differential Equations Marlene Frigon (Montreal) Surveys and Short communications Jean Mawhin (Louvain) Symplectic Topology Urs Frauenfelder (Augsburg) Advisory Board Y.

Choquet-Bruhat (Paris) M. Crabb. Abbondandolo and P. Majer, Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, Lectures on the Morse complex for infinite-dimensional manifolds, NATO Sci.

Ser. II Math. Phys. Chem (Springer, ) pp. 1– Crossref, Google ScholarCited by: from book Morse theoretic methods in nonlinear analysis and in symplectic topology. Proceedings of the NATO Advanced Study Institute, Montréal, Canada, July (pp) Lectures on the Morse. [Oh06a] Oh, Y.-G., Lectures on Floer theory and spectral invariants of Hamiltonian flows, in Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology, –, NATO Sci.

Ser. II Math. Phys. Chem., This volume contains contributions to the Seminaire de Mathematiques Superieures – NATO Advanced Study Institute on "Morse theoretic Methods in non-linear Analysis and Symplectic Topology. This volume contains contributions to the Seminaire de Mathematiques Superieures – NATO Advanced Study Institute on "Morse theoretic Methods in non-linear Analysis and Symplectic Topology Author: Francois Lalonde.

On the associativity of gluing.

Download Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology (NATO Science Series II: Mathematics, Physics and Chemistry) (NATO Science Series II: Mathematics, Physics and Chemistry) EPUB

Lizhen Qin; Lizhen Qin. Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing, JiangsuP. China Homotopic dynamics in symplectic topology, Morse theoretic methods in nonlinear analysis and in symplectic topology, On the topology and analysis of a closed one form Author: Lizhen Qin.

The Morse–Bott inequalities via a dynamical systems approach. AUGUSTIN BANYAGA If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.

Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology Cited by: 8. Abbondandolo and P. Majer, Lectures on the Morse complex for infinite dimensional manifolds, in Morse theoretic methods in nonlinear analysis and in symplectic topology, pp. NATO Science Series II: Mathematics, Physics and Chemistry, P.

Biran, O. Cornea, and F.

Details Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology (NATO Science Series II: Mathematics, Physics and Chemistry) (NATO Science Series II: Mathematics, Physics and Chemistry) EPUB

Lalonde Eds, Springer, The book covers a lot of material that will be familiar to a graduate student in topology, but from the vantage point of Morse theory. For me this vantage point was very intuitive and this book contains my favorite proof of Poincare by:   Discover Book Depository's huge selection of Octav Cornea books online.

Free delivery worldwide on over 20 million titles. Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology. Paul Biran. 18 Mar Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology.

Paul Biran. 05 Sep Paperback. Symplectic displacement energy for Lagrangian submanifolds - Volume 13 Issue 2 - Leonid Polterovich Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology.

Vol. Issue., p. Morse Theoretic Methods in Nonlinear Analysis and in Symplectic Topology. Vol.Issue., p. CrossRef;Cited by: "Morse theory, graphs, and string topology", proceedings of SMS/NATO Adv. Study Instiute on Morse theoretic methods in non-linear analysis and symplectic topology, NATO Science Series II:Mathematics, Physics, and Chemistry, vol.

Springer, (), morse-graphs-string. Degree Theory and Applications.- Minimization MethodsTopological Methods. EAN/ISBN: Publisher(s): Springer, Berlin Discussed keywords: Analysis Format: ePub/PDF Author(s): Chang, Kung-Ching DOWNLOAD HERE Similar manuals: Morse Theoretic Methods In Nonlinear Analysis And In Symplectic Topology Methods In Nonlinear Analysis.In mathematics, Floer homology is a tool for studying symplectic geometry and low-dimensional homology is a novel invariant that arises as an infinite-dimensional analogue of finite-dimensional Morse homology.

Andreas Floer introduced the first version of Floer homology, now called Lagrangian Floer homology, in his proof of the Arnold conjecture in symplectic geometry. Given a compact (two-sided) flow, an isolated invariant set S and a Morse-decomposition (M 1,M n) of S, there is a generalized Morse equation, proved by Conley and Zehnder, which relates the Alexander-Spanier cohomology groups of the Conley indices of the sets M i and S with each other.

Recently, Rybakowski developed the technique of isolating blocks and extended Conley's index theory .