@article{AIHPA_1993__58_3_247_0, author = {Bryant, P. and Hodgkin, Luke}, title = {Nielsen's theorem and the super-Teichm\"uller space}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {59}, year = {1993}, pages = {247-265}, mrnumber = {1222942}, zbl = {0787.32013}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1993__58_3_247_0} }
Bryant, P.; Hodgkin, L. Nielsen's theorem and the super-Teichmüller space. Annales de l'I.H.P. Physique théorique, Tome 59 (1993) pp. 247-265. http://gdmltest.u-ga.fr/item/AIHPA_1993__58_3_247_0/
[1] Notes on String Theory and Two-Dimensional Conformal field Theory, in The Proceedings of the Workshop on unified String Theories, M. GREEN and D. GROSS Eds., World Scientific, Singapore, 1986; and , On the Multiloop Contribution to the String Theory, Int. J. Mod. Phys. A.2., 1987, pp. 1773-1796; , and , Some Global Issues in String Perturbation Theory, Nucl. Phys. B, Vol. 308, 1988, pp. 1-101; and , The Geometry of String Perturbation Theory, Rev. Mod. Phys., Vol. 60, 1988, pp. 917-1065. | MR 849106 | Zbl 0648.53057
,[2] Topological Supergravity in Two Dimensions, Phys. Lett. R., Vol. 247, 1991, pp. 64-70. | MR 1073149
, and ,[3] Super-Riemann Surfaces: Uniformization and Teichmüller Theory, Comm. Math. Phys., Vol. 113, 1988, pp. 601-623. | MR 923633 | Zbl 0659.30039
and ,[4] A Direct Calculation of Super-Teichmüller Space, Lett. Math. Phys., Vol. 14, 1987, pp. 47-53. | MR 901699 | Zbl 0627.58004
,[5] Graded Riemann Surfaces, Commun. Math. Phys., Vol. 114, 1988, pp. 243-255; and , Moduli of super Riemann Surfaces, Commun. Math. Phys., Vol. 117, 1988, pp. 159-176. | MR 928227 | Zbl 0659.30038
and ,[6] Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math., Vol. 50, 1927, pp. 189-358; , Die Klassen von topologischen Abbildungen einer geschlossenen Fläche auf sich, Math. Z., Vol. 44, 1939, pp. 541- 554. | JFM 53.0545.12 | MR 1545786
,[7] Quasiconformal Mappings and Teichmüller's Theorem, in Nevanlinna et al., Analytic Functions, Princeton, 1960, pp. 89-119. | MR 114898 | Zbl 0100.28904
,[8] Supermanifolds, Cambridge University Press, Cambridge, 1984. | MR 778559 | Zbl 0551.53002
,[9] Lehrbuch der Topologie, Teubner, Leipzig, 1934. | JFM 60.0496.05 | Zbl 0009.08601
and ,[10] On the Geometry of Teichmüller Spaces and the Structure of their Modular Groups, Ann. Acad. Sci. Fenn., Vol. 278, 1959, pp. 1-35. | MR 148906 | Zbl 0168.04601
,[11] A fibre Bundle Description of Teichmüller Space, J. Diff. Geom., Vol. 3, 1969, pp. 19-43. | MR 276999 | Zbl 0185.32901
and ,[12] Discrete Groups and Automorphic Functions, W. J. HARVEY, Ed., Academic Press, 1977, pp. 1-45. | MR 474262
, in[13] The Structure of Supermanifolds, Trans. Amer. Math. Soc., Vol. 253, 1979, pp. 329-338; , Graded Manifolds and Supermanifolds, in Mathematical Aspects of Superspace, C. J. S. CLARKE, H. J. SEIFERT and A. ROSENBLUM Eds., D. Reidel, Dordrecht, 1988. | Zbl 0413.58002
,[14] GH∞-Supermanifolds, J. Math. Phys., Vol. 29, 1988, pp. 1575-9; , de Witt Supermanifolds and Infinite-Dimensional Ground Rings, J. Lond. Math. Soc., Vol. 39, 1989, pp. 347-353. | MR 946330 | Zbl 0654.58015
,[15] A global Theory of Supermanifolds, J. Math. Phys., Vol. 21, 1980, pp. 1352- 1365 ; , Graded Manifolds, Supermanifolds and Infinite Dimensional Grassmann Algebras, Commun. Math. Phys., Vol. 105, 1986, pp. 375-384. | MR 574696 | Zbl 0447.58003
,[16] Riemann Surfaces and spin Structures, Ann. Sci. Ec. Norm. Sup., Vol. 4, 1971, pp. 47-62. | Numdam | MR 286136 | Zbl 0212.56402
,[17] Super-Beltrami Differentials, Class. Quantum Grav. 6, 1989, pp. 1725- 1738. | MR 1019911 | Zbl 0685.58001
,[18] Superholomorphic Anomalies and Supermoduli Space, Nucl. Phys. B., Vol. 292, 1987, pp. 317-329. | MR 901420
and ,[19] The Complex Structure of Super-Teichmüller Space (in preparation).
,[20] On Metrics and Super-Riemann Surfaces, Lett. Math. Phys., Vol. 14, 1987, pp. 177-184. | MR 909004 | Zbl 0652.58014
,[21] Cohomologie galoisienne, Lecture Notes in Mathematics No. 5, Springer-Verlag, London, Heidelberg, New York, 1965. | MR 201444 | Zbl 0136.02801
,[22] Spaces of Riemann Surfaces, Proceedings of the International Congress of Mathematicians, Edinburgh, 1958, pp. 349-361. | Zbl 0116.28803
,[23] Super Beltrami Differentials via 2 D Supergravity, Phys. Lett. B, Vol. 217, 1989, pp. 479-484. | MR 981541
and ,[24] Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes, in Séminaire N. Bourbaki, Vol. 1986/1987, Astérisque No. 152-153, Vol. 4, 1987, pp. 113-149. | Numdam | Zbl 0655.32021
,