@incollection{SB_1986-1987__29__113_0,
author = {Bost, Jean-Beno{\^\i}t},
title = {Fibr\'es d\'eterminants, d\'eterminants r\'egularis\'es et mesures sur les espaces de modules des courbes complexes},
booktitle = {S\'eminaire Bourbaki : volume 1986/87, expos\'es 669-685},
series = {Ast\'erisque},
note = {talk:676},
pages = {113--149},
year = {1987},
publisher = {Soci\'et\'e math\'ematique de France},
number = {152-153},
mrnumber = {936852},
zbl = {0655.32021},
language = {fr},
url = {https://www.numdam.org/item/SB_1986-1987__29__113_0/}
}
TY - CHAP AU - Bost, Jean-Benoît TI - Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes BT - Séminaire Bourbaki : volume 1986/87, exposés 669-685 AU - Collectif T3 - Astérisque N1 - talk:676 PY - 1987 SP - 113 EP - 149 IS - 152-153 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1986-1987__29__113_0/ LA - fr ID - SB_1986-1987__29__113_0 ER -
%0 Book Section %A Bost, Jean-Benoît %T Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes %B Séminaire Bourbaki : volume 1986/87, exposés 669-685 %A Collectif %S Astérisque %Z talk:676 %D 1987 %P 113-149 %N 152-153 %I Société mathématique de France %U https://www.numdam.org/item/SB_1986-1987__29__113_0/ %G fr %F SB_1986-1987__29__113_0
Bost, Jean-Benoît. Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes, dans Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Exposé no. 676, 37 p.. https://www.numdam.org/item/SB_1986-1987__29__113_0/
[1] - Theory of strings with boundaries : fluctuation, topology and quantum geometry, Nucl. Phys. B 216, 125-184 (1983). | MR
[2] - Conformal anomalies and the index theorem, UCB Preprint, Ph T/85-39 (à paraître dans Nucl. Phys.). | MR
[3] , , , et - Bosonization in arbitrary genus, Phys. Lett. B 178, 41-47 (1986). | MR
[4] et - Dirac operators coupled to vector potentials, Proc. Nat. Acad. Sci. 81, 2597 (1984). | Zbl | MR
[5] et - Multiloop contribution to string theory, Pisma ZETP 42, 340-342 (1985) [= JETP Letters 42, 419-421 (1985)]. | MR
[6] et - The Mumford form and the Polyakov measure in string theory, Comm. Math. Physics 107, 359-376 (1986). | Zbl | MR
[7] et - Algebraic geometry and the geometry of quantum strings, Phys. Lett. B, 168, 201-211 (1986). | Zbl | MR
[8] et - Complex geometry and theory of quantum strings, Landau Institute Preprint (1986). | MR
[9] , , - Two- and three-loop amplitudes in the bosonic string theory, Landau Institute Preprint (1986). | MR
[10] - Finite dimensional Teichmüller spaces and generalizations, Bulletin Amer. Math. Soc. (N.S.) 5 (1981), 131-172. | Zbl | MR
[11] - The Atiyah - Singer index theorem for families of Dirac operators : two heat equation proofs, Invent. Math. 83, 91-151 (1986). | Zbl | MR
[12] et - The analysis of elliptic families I, II, Comm. Math. Phys. 106, 159-176 (1986) et 107, 103-163 (1986). | Zbl
[ 13] et - A holomorphy property and the critical dimension in string theory from an index theorem, Phys. Lett. B 174, 273-276 (1986). | MR
[14] et - Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic cross sections, Acta Math. 114, 71-112 (1968). | Zbl | MR
[15] , , et - Algebraic geometry and path integrals for closed strings, Phys. Lett. B 172, 328-332 (1986). | MR
[16] and - Multiloop amplitudes for the bosonic Polyakov string, Nuclear Physics B 269, 205-234 (1986). | MR
[ 17] - Infinite determinants, stable bundles and curvatures, Preprint. | MR
[18] - Analytic torsion and Prym differentials. Riemann surfaces and related topics, Proc. of the 1978 Stony Brook Conférence, Princeton University Press 1980, 107-122. | Zbl | MR
[19] - Determinants, torsion and strings, Comm. Math. Phys. 107, 483-513 (1986). | Zbl | MR
[20] - Analytic torsion and closed geodesics on hyperbolic manifolds, Invent. Math. 84, 523-540 (1986). | Zbl | MR
[21] - Introduction to Polyakov's string theory, in Recent advances in field theory and statistical mechanics, Les Houches 1982, J.-B. Zuber and R. Stora Ed., North Holland, 839-867 (1984). | MR
[22] et - The integrable analytic geometry of quantum strings, Phys. Lett. B 175, 287-296 (1986). | MR
[23] , , et - Multiloop divergences in the closed bosonic string theory, Preprint, Trieste 1985.
[24] - Invariance theory, the heat equation and the Atiyah - Singer index theorem, Publish or Perish, 1984. | Zbl | MR
[25] et - Direct images of hermitian holomorphic bundles, Bull. Am. Math. Soc. 15, 209-212 (1986). | Zbl | MR
[26] - The second homology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983), 221-239. | Zbl | MR
[27] - Recent work on Mg, Proceedings of the International Congress of Mathematicians, Warzawa, North Holland, 1984, Vol. 1, 719-726. | Zbl | MR
[28] - Zeta function regularization of path integrals in curved space-time, Comm. Math. Phys. 55, 133-148 (1977). | Zbl | MR
[29] - Modular forms and projective invariants, American Journ. of Math. 89, 817-855 (1967). | Zbl | MR
[30] - Analytic fields on Riemann surfaces, Phys. Lett. B, 180, 247-254 (1986). | Zbl | MR
[31] and - The projectivity of the moduli space of stable curves I : Preliminaries on "det" and "Div", Math. Scand. 39, 19-55 (1976). | Zbl | MR
[32] - Dimensions critiques des théories des cordes et faisceau dualisant sur l'espace des modules des super-courbes, Analyse fonctionnelle et applications 20, n° 3, 88-89 (1986) (en russe). | Zbl | MR
[33] - The partition function of the Polyakov string can be expressed through theta function, Pisma ZETP 43, 161-163 (1986). | MR
[34] - Quantum strings and algebraic curves, Conférence au congrès international des mathématiciens (1986). | Zbl | MR
[35] - Modular forms and two-loop string physics, Phys. Lett. B, 176, 369-379 (1986). | MR
[36] and - Measure for moduli, Nuclear Physics B 266, 58-74 (1986). | MR
[37] - Explicit formulae for one, two, three and four loop string amplitudes, Preprint ITEP 86-88. | MR
[38] - Abelian quotients of the Teichmüller modular group, Journal d'Analyse Mathématique 18, 227-244 (1967). | Zbl | MR
[39] - Stability of projective varieties, L'Enseignement Mathématique 23, 39-110 (1977). | Zbl | MR
[40] - Dual resonance models and strings in QCD, in Recent advances in field theory and statistical mechanics, Les Houches 1982, J.-B. Zuber and R. Stora Ed., North Holland, 1984, 757-837. | MR
[41] - Evaluation of the one string path integral, Commun. Math. Phys. 104, 34-47 (1986). | Zbl | MR
[42] - Quantum geometry of bosonic strings, Phys. Lett 103 B, 207-210 (1981). | MR
[43] - Quantum geometry of fermionic strings, Phys. Lett. B, 103, 211-213 (1981). | MR
[44] - Determinants of Cauch - Riemann operators over a Riemann surface, Funk. Anal. i Prilozen 19, 37-41 (1985) [= Funct. Anal. Appl. 19, 31-34 (1986)]. | Zbl | MR
[45] and - R-torsion and the laplacian on riemannian manifolds, Adv. in Math. 7, 145-210 (1971). | Zbl | MR
[46] - Complex powers of an elliptic operator, Proc. Symp. Pure Math., AMS, Vol. X, 288-307 (1967). | Zbl | MR
[47] - Elliptic functions according to Eisenstein and Kronecker, Springer-Verlag (1976). | Zbl | MR
[48] - Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces, Preprint, Maryland, 1986. | MR
[49] SÉMINAIRE DE GÉOMÉTRIE ALGÉBRIQUE 6 - Springer Lecture Notes in Mathematics 225 (1971).
[50] Dual theory - Ed. M.Jacob, Physics Reports reprint book series I, North Holland (1974).
[51] VERTEX OPERATORS IN MATHEMATICS AND PHYSICS - Edited by J. Lepowsky, S. Mandelstam and I.M. Singer, MSRI Publications 3, Springer-Verlag (1984). | MR
[52] Superstrings - The first 15 years of superstring theory, Edited by J.H. Schwarz, World Scientific (1985). | MR
[53] , and - Superstring Theory, Cambridge University Press (1987).
[54] , et - Analytic torsion and holomorphic determinant bundles, Prépublication Orsay 87 T 8.
