Skip to main content
SpringerLink
Log in

Multi-Valued Functionals, One-Forms and Deformed de Rham Complex

  • Chapter
Topology in Molecular Biology

Part of the book series: Biological and Medical Physics, Biomedical Engineering ((BIOMEDICAL))

  • 1391 Accesses

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. S. P. Novikov, Soviet Math. Dokl. 24, 222-226, (1981)

    MATH  Google Scholar 

  2. S. P. Novikov, Russ. Math. Surveys 37 (5), 1-56, (1982)

    Article  MATH  ADS  Google Scholar 

  3. S. P. Novikov, Soviet Math. Dokl. 33 (5), 551-555, (1986)

    MATH  Google Scholar 

  4. A. V. Pazhitnov, Soviet Math. Dokl. 35, 1-2, (1987)

    Google Scholar 

  5. E. Witten, Supersymmetry and Morse theory, J. Differential Geom. 17, 661-692, (1982)

    MATH  MathSciNet  Google Scholar 

  6. S. P. Novikov, On the exotic De-Rham cohomology. Perturbation theory as a spectral sequence, arXiv:math-ph/0201019

    Google Scholar 

  7. L. Alaniya, Russ. Math. Surveys 54 (5) 1019-1020 (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. K. Nomizu, Ann. Math. 59, 531-538, (1954)

    Article  MathSciNet  Google Scholar 

  9. D. V. Millionshchikov, Russ. Math. Surveys 57 (4) 813-814, (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. D. V. Millionshchikov, Math. Notes (in Russian) 77(1-2), 61-71 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  11. J. Dixmier, Acta Sci. Math. (Szeged), 16 (4), 226-250, (1955)

    MathSciNet  Google Scholar 

  12. A. Hattori, J. Fac. Sci. Univ. Tokyo, Sect. 1, 8 (4), 289-331 (1960)

    MATH  Google Scholar 

  13. P. A. M. Dirac, Phys. Rev. 74, 817, (1948)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  14. Y. Aharonov, D. Bohm, Phys. Rev. 115(3) 145, (1959)

    Article  MathSciNet  Google Scholar 

  15. Y. Aharonov, D. Bohm, Phys. Rev. 123 (4) 1511, (1961)

    Article  MathSciNet  ADS  Google Scholar 

  16. P. A. Horvathy, Classical Action, the Wu-Yang Phase Factor and Prequantiza-tion, in Proc. conf. , Aix-en-Provance, Salamanca. Lecture notes in mathematics, vol. 836 (Springer, Berlin Heidelberg New York, 1980), pp. 67-90. 1980

    Google Scholar 

  17. T. T. Wu, C. N. Yang, Phys. Rev. D12, 3845, (1975)

    MathSciNet  ADS  Google Scholar 

  18. I. A. Dynnikov, Semiclassical motion of the electron. A proof of the Novikov con-jecture in general position and counterexamples, Solitons, Geometry and Topol-ogy: on the Crossroad (V. M. Buchstaber, ed. ), Am. Math. Soc. Transl. 179(2), 45-73 (1997)

    MathSciNet  Google Scholar 

  19. I. A. Dynnikov, Russ. Math. Surveys 54 (1) 21-60, (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  20. G. D. Mostow, Ann. Math. 73, 20-48, (1961)

    Article  MathSciNet  Google Scholar 

  21. L. Ausllander, L. Green, F. Hahn, Ann. Math. Stud. 53, (Princeton University Press Princeton, NJ, 1963) p. 107

    Google Scholar 

  22. J. W. Milnor, Morse theory, (Princeton University Press, Princeton, NJ 1963)

    MATH  Google Scholar 

  23. S. Raghunathan, Discrete subgroups of Lie groups, (Springer, Berlin Heidelberg New York) 1972

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Mechanics, Moscow State University, 119899, Moscow, Russia

    D. V. Millionschikov

Authors
  1. D. V. Millionschikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259, Moscow, Russia

    Michail Ilych Monastyrsky

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Millionschikov, D.V. (2007). Multi-Valued Functionals, One-Forms and Deformed de Rham Complex. In: Monastyrsky, M.I. (eds) Topology in Molecular Biology. Biological and Medical Physics, Biomedical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49858-2_11

Download citation

Publish with us

Policies and ethics

Search

Navigation