Spectral curves and integrable systems

Eyal Markman

Compositio Mathematica (1994)

  • Volume: 93, Issue: 3, page 255-290
  • ISSN: 0010-437X

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Markman, Eyal. "Spectral curves and integrable systems." Compositio Mathematica 93.3 (1994): 255-290. <http://eudml.org/doc/90324>.

@article{Markman1994,
author = {Markman, Eyal},
journal = {Compositio Mathematica},
keywords = {Hamiltonian system; Poisson structure; Jacobians of spectral curves; Higgs pairs},
language = {eng},
number = {3},
pages = {255-290},
publisher = {Kluwer Academic Publishers},
title = {Spectral curves and integrable systems},
url = {http://eudml.org/doc/90324},
volume = {93},
year = {1994},
}

TY - JOUR
AU - Markman, Eyal
TI - Spectral curves and integrable systems
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 93
IS - 3
SP - 255
EP - 290
LA - eng
KW - Hamiltonian system; Poisson structure; Jacobians of spectral curves; Higgs pairs
UR - http://eudml.org/doc/90324
ER -

References

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  2. [A-H-P] Adams, M.R., Harnad, J. and Previato, E., Isospectral Hamiltonian flows in finite and infinite dimensions, I. Generalized Moser systems and moment maps into loop algebras, Commun. Math. Phys.117 (1988), 451-500. Zbl0659.58022MR953833
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  4. [A-vM] Adler, M. and van Moerbeke, P., Completely integrable systems, Euclidean Lie algebras, and curves, Advances in Math.38 (1980), 267-317. Zbl0455.58017MR597729
  5. [A-G] Arnol'd, V.I. and Givental', A.B., Symplectic geometry, in: Dynamical systems IV, (eds). Arnol'd, V. I. and Novikov, S. P., (EMS, vol. 4, pp. 1-136) BerlinHeidelberg, Springer: New York, 1988. Zbl0780.58016MR1866631
  6. [Ar] Artin, M., On Azumaya algebras and finite dimensional representations of rings, J. Algebra2 (1969), 532-563. Zbl0222.16007MR242890
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  12. [H1] Hitchin, N.J., Stable bundles and integrable systems, Duke Math. J.54, No. 1, 91-114 (1987). Zbl0627.14024MR885778
  13. [H2] Hitchin, N.J., Flat connections and geometric quantization, Comm. Math. Phys.131 (1990), 347-380. Zbl0718.53021MR1065677
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  16. [R-S] Reyman, A.G. and Semenov-Tyan-Shansky, M.A., Group theoretical methods in the theory of finite dimensional integrable systems, in: Dynamical Systems 7 (eds.) Arnol'd, V. I. and Novikov, S. P., (EMS, vol. 16, pp. 119-193), 1987 (Russian). 
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