Springer Monographs in Mathematics

Geometry and Topology of Configuration Spaces

Authors: Fadell, Edward R., Husseini, Sufian Y.

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About this book

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.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-642-56446-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-540-66669-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-642-63077-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometry and Topology of Configuration Spaces
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2001
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-56446-8
DOI
10.1007/978-3-642-56446-8
Hardcover ISBN
978-3-540-66669-1
Softcover ISBN
978-3-642-63077-4
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XVI, 313
Topics