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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

Part of the Lecture Notes in Mathematics book series (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).

Keywords

  • Vector Bundle
  • Line Bundle
  • Spectral Sequence
  • Configuration Space
  • Cohomology Group

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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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

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© 1980 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10275-5

  • Online ISBN: 978-3-540-38405-2

  • eBook Packages: Springer Book Archive