A natural graded Lie algebra sheaf over Riemann surfaces

Paolo Teofilatto

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 54, Issue: 2, page 165-177
  • ISSN: 0246-0211

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Teofilatto, Paolo. "A natural graded Lie algebra sheaf over Riemann surfaces." Annales de l'I.H.P. Physique théorique 54.2 (1991): 165-177. <http://eudml.org/doc/76526>.

@article{Teofilatto1991,
author = {Teofilatto, Paolo},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {uniformization; super Riemann surfaces; moduli},
language = {eng},
number = {2},
pages = {165-177},
publisher = {Gauthier-Villars},
title = {A natural graded Lie algebra sheaf over Riemann surfaces},
url = {http://eudml.org/doc/76526},
volume = {54},
year = {1991},
}

TY - JOUR
AU - Teofilatto, Paolo
TI - A natural graded Lie algebra sheaf over Riemann surfaces
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 54
IS - 2
SP - 165
EP - 177
LA - eng
KW - uniformization; super Riemann surfaces; moduli
UR - http://eudml.org/doc/76526
ER -

References

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  2. [2] K. Kodaira and D. Spencer, On Deformations of Complex Analytic Structures, Ann. Math., Vol. 67, 1958, pp. 328-466. Zbl0128.16901MR112154
  3. [3] L. Bers, Simultaneous Uniformizations, Bull. Am. Math. Soc., Vol. 66, 1960, pp. 94-97. Zbl0090.05101MR111834
  4. [4] Yu.I. Manin, Critical Dimensions of the String Theories and the Dualizing Sheaf on the Moduli Space of (Super) Curves, Funct. Anal. Appl., Vol. 20, 1986, pp. 244-245. Zbl0639.14015MR868568
  5. [5] C. Le Brun and M. Rothstein, Moduli of Super Riemann Surfaces, Comm. Math. Phys., Vol. 117, 1988, p. 159. Zbl0662.58008MR946998
  6. [6] L. Crane and J. Rabin, Super Riemann Surfaces: Uniformization and Teichmüller Theory, Comm. Math. Phys., Vol. 113, 1988, p. 601. Zbl0659.30039MR923633
  7. [7] L. Hodgkin, A Direct Calculation of Super Teichmüller Space, Lett. Math. Phys., Vol. 14, 1987, p. 74. Zbl0627.58004MR901699
  8. [8] N. Hawley and M. Shiffer, Half Order Differential on Riemann Surfaces, Acta Math., Vol. 115, 1966, pp. 119-236. Zbl0136.06701MR190326
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  11. [11] P. Sipe, Roots of the Canonica Bundle Over the Universal Teichmüller Curve, Math. Ann., Vol. 260, 1982, pp. 67-92. Zbl0502.32017MR664367
  12. [12] G. Trautmann, Deformations of Sheaves and Bundles, Lect. Notes Math., Vol. 683, 1978, pp. 29-41. Zbl0388.32011MR517519
  13. [13] I. Kra, Automorphic Forms and Kleinian Groups, Benjamin, Reading, Mass., 1972. Zbl0253.30015MR357775
  14. [14] F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer-Verlag, Berlin- Heidelberg-New York, 1966. Zbl0138.42001MR202713
  15. [15] R. Gunning, Riemann Surfaces and Generalized Theta Functions, Berlin, Heidelberg, New York, Springer, 1976. Zbl0341.14013MR457787
  16. [16] K. Gawedzki, Supersymmetries-Mathematics of Supergeometry, Ann. Inst. H. Poincaré, Sect. A., vol. XXVII, 1977, p. 355-366. Zbl0369.53061MR489701
  17. [17] G. Segal, Comm. Math. Phys., 80, 1981, p. 301. Zbl0495.22017MR626704
  18. [18] D. Friedan, in Supersymmetry, Supergravity and Superstrings 86, B. DE WITT ed., World Scientific, Singapore, 1986. MR851575

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