Skip to main content
Log in

Fermions on a Riemann surface and the Kadomtsev-Petviashvili equation

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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.

Literature Cited

  1. I. M. Krichever and S. P. Novikov, Funktsional. Analiz i Ego Prilozh.,21, 46 (1987).

    Google Scholar 

  2. L. Alvarez-Gaume, C. Gomes, and C. Reina, Preprint CERN-TH. 4661/87.

  3. I. M. Krichever, Funktsional. Analiz i Ego Prilozhen.,11, 15 (1977).

    Google Scholar 

  4. T. Shiota, Invent. Math.,83, 333 (1986).

    Google Scholar 

  5. R. Hirota, Lect. Notes in Math.,515, 40 (1976).

    Google Scholar 

  6. M. Jimbo and T. Miwa, in: Vertex Operators in Mathematics and Physics, Springer Verlag, Berlin (1984), p. 275.

    Google Scholar 

  7. E. Date, M. Jimbo, M. Kashivara, and T. Miwa, Proceedings RIMS Symp. Nonlinear Integrable Systems—Classical Theory and Quantum Theory (Kyoto, 1981), World Scientific (1983), p. 39.

  8. D. Friedan and S. Shenker, Nucl. Phys. B,281, 509 (1987).

    Google Scholar 

  9. B. S. DeWitt, in: Black Holes [Russian translation], Mir, Moscow (1978), p. 66.

    Google Scholar 

  10. M. Sato, M. Jimbo, and T. Miwa, Holonomic Quantum Fields [Russian translation], Mir, Moscow (1983).

    Google Scholar 

  11. I. B. Frenkel, Lect. Notes in Math.,933 (1982).

  12. G. Segal and G. Wilson, Publications IHES,61, 5 (1985).

    Google Scholar 

  13. A. Yu. Morozov, Preprint ITEP 87-51, Institute of Theoretical and Experimental Physics, Moscow (1987).

  14. B. A. Dubrovin, Usp. Mat. Nauk,36, 11 (1981).

    Google Scholar 

  15. C. H. Clemens, A Scrapbook of Complex Curve Theory, New York (1980).

  16. D. Mumford, Tata Lectures in Theta, Vols. 1 and 2, Birchäuser, Boston (1984).

    Google Scholar 

  17. J. Fay, Lect. Notes in Math.,352 (1973).

  18. H. Sonoda, Phys. Lett. B,178, 390 (1986).

    Google Scholar 

  19. A. L. Besse (ed.), Four-Dimensional Riemannian Geometry [Russian translations], Mir, Moscow (1985).

    Google Scholar 

  20. M. Ishibashi, M. Matsuo, and H. Ooguri, Preprint UT-499, Tokyo University (1986).

Download references

Authors

Additional information

Institute of Chemical Physics, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 78, No. 2, pp. 234–247, February, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zabrodin, A.V. Fermions on a Riemann surface and the Kadomtsev-Petviashvili equation. Theor Math Phys 78, 167–177 (1989). https://doi.org/10.1007/BF01018682

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01018682

Keywords

Navigation