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Springer Morse Theory and Floer Homology - Mathematics Book

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Description

Explore modern methods of symplectic topology with this specialized text from Springer. This book provides a detailed explanation of the Arnold conjecture, a problem originating from classical mechanics that relates the number of 1-periodic trajectories of a non-degenerate Hamiltonian system to the dimension of the homology of the underlying manifold. The content begins with a thorough introduction to Morse theory, a fundamental tool in differential topology. Readers will learn about the definition of the Morse complex and Morse homology, along with various applications of these concepts. This work serves as an essential resource for understanding how Morse homology functions within the broader scope of mathematical research.

Key Features

This Springer publication provides an introduction to modern methods used in symplectic topology.

The text explains the solution to the Arnold conjecture regarding 1-periodic trajectories in Hamiltonian systems.

A thorough introduction to Morse theory is included to build a foundation in differential topology.

The book covers the definition and application of the Morse complex and Morse homology.

This Universitext volume is categorized under Mathematics, specifically Geometry and Topology.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
17 December 2013
Listed Since
25 July 2013

Barcode

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