Skip to main content

Quantum Cohomology

  • Chapter
  • 151 Accesses

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 181))

Abstract

A choice of strategy for an exposition of “quantum cohomology,” such as defined and outlined in this chapter, becomes a matter of coping with two major hurdles standing in the way of this proposed objective. Quantum cohomology not only goes against major contemporary traditions in our attempts at understanding physics, it also demands a major readjustment in the prevailing geometry-based traditions of interpreting topological structure in mathematics. Mindful of these presently prevailing traditions in these two domains of science with which communication needs to be established, there are some real questions concerning an appropriate strategy of approach.

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

Buying options

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 EPUB and 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes and References

  1. Alexandroff, P. and H. Hopf, Topologie (Berlin, 1935)

    Google Scholar 

  2. Kiehn, R.M., J.Math.Phys.18, 614 (1977)

    Article  Google Scholar 

  3. Kiehn, R.M., Proc. IUTM, Symposium on Topological Fluid Mechanics, editors: H.K. Moffat and A. Tsinober (Cambridge Un. Press, 1989) p.447.

    Google Scholar 

  4. Post, E.J., Physics Essays I, 279 (1988)

    Article  Google Scholar 

  5. Einstein, A., J. Franklin Inst. 221, 313 (1936)

    Article  Google Scholar 

  6. Popper, K.R., Logik der Forschung (Vienna, 1935), English translation includes Einstein’s letter: The Logic of Scientific Discovery (New York, 1959)

    Google Scholar 

  7. de Rham, G., Variétés Differentiables (Paris, 1955)

    Google Scholar 

  8. Hodge, W.V.D., Harmonic Integrals (Cambridge, 1952)

    Google Scholar 

  9. Schouten, J.A., Tensor Anlysis for Physicists (Oxford 1951) Post, E.J., Found.Phys. 7, 255 (1977)

    Google Scholar 

  10. Whittaker, E., History of the Theories of Aether and Electricity, Vol.II, (London, 1951) pp.191–196.

    Google Scholar 

  11. Post, E.J., Phys.Rev. D25, 3223 (1982)

    Article  Google Scholar 

  12. Post, E.J., Phys.Lett. A94, 343 (1983); A125, 225 (1987); Physics Essays, II, 55 (1989)

    Article  Google Scholar 

  13. Post, E.J., Phys.Lett. A119, 47 (1986)

    Article  Google Scholar 

  14. Cohen, E.R. and J.W.M. Du Mond, Revs.Mod.Phys. 37, 593 (1965)

    Article  Google Scholar 

  15. Haefliger, A., Compt.Rend. 243, 558 (1956)

    Google Scholar 

  16. Witten, E., Comm.Math.Phys. 121, 351 (1989)

    Article  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Post, E.J. (1995). Quantum Cohomology. In: Quantum Reprogramming. Boston Studies in the Philosophy of Science, vol 181. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8410-4_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8410-4_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4575-1

  • Online ISBN: 978-94-015-8410-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics