Functional Analysis and Its Applications

, Volume 23, Issue 1, pp 19–33 | Cite as

Algebras of virasoro type, energy-momentum tensor, and decomposition operators on Riemann surfaces

  • I. M. Krichever
  • S. P. Novikov


Functional Analysis Riemann Surface Decomposition Operator Virasoro Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    I. M. Krichever and S. P. Novikov, "Virasoro type algebras, Riemann surfaces, and structures of soliton theory," Funkts. Anal. Prilozhen.,21, No. 2, 46–63 (1987).Google Scholar
  2. 2.
    I. M. Krichever and S. P. Novikov, "Virasoro type algebras, Riemann surfaces, and strings in Minkowsky space," Funkts. Anal. Prilozhen.,21, No. 4, 47–61 (1987).Google Scholar
  3. 3.
    I. M. Krichever, "Laplace's method, algebraic curves, and nonlinear equations," Funkts. Anal. Prilozhen.,18, No. 3, 43–56 (1984).Google Scholar
  4. 4.
    I. M. Krichever, "Spectral theory of "finite-zone" nonstationary Schrodinger operators, nonstationary Peierls model," Funkts. Anal. Prilozhen.,20, No. 3, 42–54 (1986).Google Scholar
  5. 5.
    I. M. Krichever, "Algebraic curves and nonlinear difference equations," Usp. Mat. Nauk,33, No. 4, 215–216 (1978).Google Scholar
  6. 6.
    D. Mumford, "An algebrogeometric construction of commuting operators and of solutions of the Toda lattice equation and related nonlinear equations," in: Int. Symp. Geom., Kyoto, Kinokuniya Store, Tokyo (1977), pp. 115–153.Google Scholar
  7. 7.
    I. M. Krichever, "Nonlinear equations and elliptic curves," J. Sov. Math.,28, No. 1 (1985).Google Scholar
  8. 8.
    J. Fay, "Theta-functions on Riemann surfaces," Lect. Notes Math.,352, 137 (1973).Google Scholar
  9. 9.
    B. A. Dubrovin, "Theta-functions and nonlinear equations," Usp. Mat. Nauk,36, No. 2, 11–80 (1981).Google Scholar
  10. 10.
    L. Bonora, M. Bregola, P. Cotto-Rumsisino, and A. Martellini, "Virasoro-type algebras and BRST operators on Riemann surfaces," Preprint CERN. TH 4889/87, 1987.Google Scholar
  11. 11.
    T. Eguchi and H. Ooguri, "Conformal and current algebras on general Riemann surface," Univ. Tokyo. Preprint UT 491, 1986.Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • I. M. Krichever
  • S. P. Novikov

There are no affiliations available

Personalised recommendations