Application de la théorie des déformations de Kodaira et Spencer à la mesure de Polyakov
Publications du Département de mathématiques (Lyon) (1993)
- Issue: 4, page 1-66
- ISSN: 0076-1656
Access Full Article
topHow to cite
topSarafopoulos, Georges. "Application de la théorie des déformations de Kodaira et Spencer à la mesure de Polyakov." Publications du Département de mathématiques (Lyon) (1993): 1-66. <http://eudml.org/doc/274303>.
@article{Sarafopoulos1993,
author = {Sarafopoulos, Georges},
journal = {Publications du Département de mathématiques (Lyon)},
language = {fre},
number = {4},
pages = {1-66},
publisher = {Université Claude Bernard - Lyon 1},
title = {Application de la théorie des déformations de Kodaira et Spencer à la mesure de Polyakov},
url = {http://eudml.org/doc/274303},
year = {1993},
}
TY - JOUR
AU - Sarafopoulos, Georges
TI - Application de la théorie des déformations de Kodaira et Spencer à la mesure de Polyakov
JO - Publications du Département de mathématiques (Lyon)
PY - 1993
PB - Université Claude Bernard - Lyon 1
IS - 4
SP - 1
EP - 66
LA - fre
UR - http://eudml.org/doc/274303
ER -
References
top- [1] Abraham, R-Marsden, J.Foundations of mechanics. New-York. Benjamin1978. Zbl0158.42901MR515141
- [2] Ahlfors L.Some remarks on Teichmüller's space of Riemann surfaces. Annals of Maths. Vol.74 N°1 (1961). Zbl0146.30602MR204641
- [3] Atiyah M.The geometry and Physics of KnotsCambridge University Press1990. Zbl0729.57002MR1078014
- [4] Belavin - Knizhnik. Complex geometry and the theory of Quantum Strings. Sov.Phys. J.E.T.P.64 (2) August1986. MR888370
- [5] Berger, M-Ebin, D.Somme decompositions of the space of symetric tensors on a Riemann manifold. J. Diff. Geametry, 3, 379-392 (1969). Zbl0194.53103MR266084
- [6] Bismut J.M. - Bost J.B.Fibrés déterminants, métriques de Quillen et dégénerescence des courbes. C.R. Acad.Sci. t 307, Série I p.317-320 (1988). Zbl0652.32019MR958789
- [7] Bismut J.M. - Gillet H. - Soule G. Soule G.Analytic Torsion and Holomorphic Déterminant Bundles. I. Bott-Chem Forms and Analytic Torsion Commun. Math.Phys.115, p.49-78 (1988) Zbl0651.32017MR929146
- Bismut J.M. - Gillet H. - Soule G.Analytic Torsion and Holomorphic Déterminant BundlesII. Direct Images and Bott-Chem Forms Commun. Math. Phys.115, p.79-126 (1988). Zbl0651.32017MR929147
- Bismut J.M. - Gillet H. - Soule G.Analytic Torsion and Holomorphic Déterminant BundlesIII. Analytic Torsion and Holomorphic Determinant Bundles. Commun.Math.Phys.115, 301-351 (1988). Zbl0651.32017MR931666
- [8] Bost J.B.Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes. Sém.Bourbaki n°676 - Février 1987. Zbl0655.32021
- [9] Bost J.B. - Jolic_urA holomorphic property and the critical dimension in string theory from an index theorem. Phys.Lett.B174 (1986) p.273-276. MR848539
- [10] D'Hoker - PhongMultiloop amplitudes for the bosonic Polyakov string. Nucl. Phys.B.269 (1986) p.205-234. MR838673
- [11] Fischer A.E. - Tromba A.J. : On a Purely Riemannian Proof of the structure and dimension of the Unramified Moduli Space of a Compact Riemann SurfaceMath. An.267, 311-345 (1984). Zbl0518.32015MR738256
- [12] Fischer A.E. - Tromba A.J.Almost complex principal fiber bundles and the complex structure on Teichmüller Space. Crelles J. Band.352, 151-160 (1984). Zbl0573.32021MR758699
- [13] Fischer A.E. - Tromba A.J.On the Weil-Pelersson metric on Teichmüller Space. Trans. A.M.S.284, 319-335 (1984). Zbl0578.58006MR742427
- [14] Freed D.Determinants, Torsion and Strings. Commun. Math.Phys.107, 483-533 (1986). Zbl0606.58013MR866202
- [15] Gilkey P.B.Invariance theory, the heat equation and the Atiyah-Singer index theorem. Puplish or Perish, 1984. Zbl0565.58035MR783634
- [16] Kobayashi, S-Nomizu, KFoundations of differential geometry. New-York : Intersciences1963. Zbl0175.48504MR152974
- [17] Kodaira K - Spencer D. G.On deformations of complex structures I, II, III. An of Math. Vol.67, (1958). Zbl0128.16901MR112154
- Kodaira K - Spencer D. G.On deformations of complex structures I, II, III. An of Math. Vol.71 (1960) Zbl0128.16902MR115189
- [18] Kodaira K - Nirenberg L. - Spencer D.G.On the existence of deformations of complex analytic structures. An. of Math. Vol.68 (1958). Zbl0088.38004MR112157
- [19] Lang S.An introduction to Arakelov theorySpringer-Verlag1988. Zbl0667.14001MR969124
- [20] Lehto O.Univalent Functions and Teichmüller Spaces G.T.M.Springer-Verlag1987. Zbl0606.30001MR867407
- [21] Mumford D.Stability of projective varieties. L'Enseignement Mathématique23 (1977). Zbl0363.14003MR450273
- [22] Mumford D - Knudsen F.The projectivity of the moduli space of stable curves. I. - Preliminaries on "det" and "div"Math. Scand.39 (1976). Zbl0343.14008MR437541
- [23] Nag S.The complex analytic theory of Teichmüller spaces. Canadian Math. Society Series of monographies and advanced texts. John-Wiley1988. Zbl0667.30040MR927291
- [24] Newlander, A. - Nirenberg, L.Complex analytic coodinates in almost-complex manifolds. Annals of Maths.65 (1957). Zbl0079.16102MR88770
- [25] Omori, H.On the group of diffeomorphism on a compact manifold. Proc.Sym.Pure Math.AMS15 (1970). Zbl0214.48805MR271983
- [26] Palais, R.Foundations of global non-linear analysis. New-York. Benjamin1968. Zbl0164.11102MR248880
- [27] Polyakov A.M.Quantum geometry of bosonic stringsPhys. lett.103B207-210 (1981). MR623209
- [28] Powell, J.Two theorems on the mapping class group of a surface. Proc. AMS68 (1978). Zbl0391.57009MR494115
- [29] Quillen D.Determinant of Cauchy-Riemann operators over a Riemann surface. Funct. Anal.Appl.19 (1985). Zbl0603.32016MR783704
- [30] Ray D. - Singer I.M.R-torsion and the laplacian on riemann manifoldsAdv. in Math.7, 145-210 (1971). Zbl0239.58014MR295381
- [31] Seeley R.T.Complex powers of an elliptic operator. Proc. Symp.Pure Math. AMS Vol.X (1967). Zbl0159.15504MR237943
- [32] Singer I.M.Some Problems in the Quantization of Gauge theories and String theories. Proce.Symp.Pure Math. Vol.48 (1988). Zbl0702.58010MR974336
- [33] Takhtajan L.A.Uniformization, local Index theorem and geometry of the moduli Spaces of Riemann surfaces and vector Bundles. Proc.Symp.Pure Math. Vol.49 (1989) Part.I. Zbl0689.30035MR1013154
- [34] Tomi F - Tromba A.J.Existence theorems for minimal surfaces of non-zero genus spanning a contour. Memoirs A.M.S. Vol.71 N°382 (1988). Zbl0638.58004MR920962
- [35] WellsDifferential Analysis on Complex manifolds. Prendice-Hall Series in modem analysis1973. Zbl0435.32004MR515872
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.