ENGLISH

Geometry and Topology of Configuration Spaces

By Edward R. Fadell , Sufian Y. Husseini (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2001
ISBN
978-3-642-63077-4, 978-3-642-56446-8
DOI
10.1007/978-3-642-56446-8
Language
english
Format
PDF
Filesize
11 MB (11643611 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
313\313
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Algebraic Topology; Global Analysis and Analysis o

Description

The configuration space of a manifold provides the appropriate setting for problems not only in topology but also in other areas such as nonlinear analysis and algebra. With applications in mind, the aim of this monograph is to provide a coherent and thorough treatment of the configuration spaces of Eulidean spaces and spheres which makes the subject accessible to researchers and graduate students with a minimal background in classical homotopy theory and algebraic topology. The treatment regards the homotopy relations of Yang-Baxter type as being fundamental. It also includes a novel and geometric presentation of the classical pure braid group; the cellular structure of these configuration spaces which leads to a cellular model for the associated based and free loop spaces; the homology and cohomology of based and free loop spaces; and an illustration of how to apply the latter to the study of Hamiltonian systems of k-body type.

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