Skip to main content
SpringerLink
Log in

Configuration spaces of identical particles

  • Part I Proceedings Of The International Colloquium Of The C.N.R.S. Held At Aix-en-Provence, September 3–7, 1979 Edited By J.M. Souriau
  • Conference paper
  • First Online:
Differential Geometrical Methods in Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 836))

Abstract

We define the configuration space Cm(M) of m identical particles moving on a manifold M and give several examples. We indicate how the cohomology groups Hq(Cm(M), Z) may be calculated, and compute Ha(C3(Rn), Z).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.M. Souriau-Structure des Systemes Dynamiques, Dunod, Paris 1970.

    MATH  Google Scholar 

  2. G.B. Segal-Configuration Spaces and Iterated Loop-Spaces, Inventiones Math. 21 (1973) 213–221.

    Article  MathSciNet  MATH  Google Scholar 

  3. D. McDuff-Configuration Spaces of Positive and Negative Particles, Topology, 14 (1975) 91–107.

    Article  MathSciNet  MATH  Google Scholar 

  4. -Configuration Spaces, Lecture Notes in Mathematics 575, Springer, Berlin, 88–95.

    Google Scholar 

  5. H. Morton-Symmetric Products of the Circle, Proc. Camb. Phil. Soc. 63 (1967) 349–352.

    Article  MathSciNet  MATH  Google Scholar 

  6. H. Bacry-Orbits of the Rotation Group on Spin States, J. Math. Phys. 15 (1974) 1686–1688.

    Article  MathSciNet  Google Scholar 

  7. P.J. Hilton and S. Wylie-Homology Theory, Cambridge 1962, Chap. 10.

    Google Scholar 

  8. R.C. Hwa and V.L. Teplitz-Homology and Feynman Integrals, Benjamin 1966, Chap. 5.

    Google Scholar 

  9. M.F. Atiyah and J.D.S. Jones-Topological Aspects of Yang-Mills Theories, Comm. Math. Phys. 61 (1978) 97–118, § 5.

    Article  MathSciNet  MATH  Google Scholar 

  10. H. Cartan and S. Eilenberg-Homological Algebra, Oxford 1956, Chap. 12.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. D.A.M.T.P., The University, L69 3BX, Liverpool

    F. J. Bloore

Authors
  1. F. J. Bloore
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

P. L. García A. Pérez-Rendón J. M. Souriau

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Bloore, F.J. (1980). Configuration spaces of identical particles. In: García, P.L., Pérez-Rendón, A., Souriau, J.M. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089723

Download citation

  • DOI: https://doi.org/10.1007/BFb0089723

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10275-5

  • Online ISBN: 978-3-540-38405-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation