Skip to main content
Log in

Theories of bundles with additional structures

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In the present paper, we study bundles equipped with extra homotopy conditions, in particular, so-called n-bundles. It is shown that (under some condition) the classifying space of 1-bundles is the double coset space of some finite-dimensional Lie group.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. Aschieri, L. Cantini, and B. Jurčo, Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory, arXiv:hep-th/0312154 (2003).

  2. M. Atiyah and G. Segal, Twisted K-Theory, arXiv:math.KT/0407054 (2004).

  3. A. V. Ershov, Homotopy Theory of Bundles with Fiber Matrix Algebra, Preprint 01, Max-Planck-Institut für Mathematik (2003).

  4. A. V. Ershov, “Homotopy theory of bundles with fiber matrix algebra,” J. Math. Sci., 123, No. 4, 4198–4220 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  5. A. V. Ershov, “A generalization of the topological Brauer group,” J. K-Theory, to appear.

  6. D. Husemöller, M. Joachim, B. Jurčo, and M. Schottenloher, Basic Bundle Theory and K-Cohomology Invariants, Lect. Notes Phys., Vol. 726, Springer, Berlin (2008).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 8, pp. 77–98, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ershov, A.V. Theories of bundles with additional structures. J Math Sci 159, 799–814 (2009). https://doi.org/10.1007/s10958-009-9472-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-009-9472-5

Keywords

Navigation