@article{ASENS_2003_4_36_1_57_0,
author = {Kriz, Igor},
title = {On spin and modularity in conformal field theory},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {36},
year = {2003},
pages = {57-112},
doi = {10.1016/S0012-9593(03)00003-X},
mrnumber = {1987977},
zbl = {1028.81050},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_2003_4_36_1_57_0}
}
Kriz, Igor. On spin and modularity in conformal field theory. Annales scientifiques de l'École Normale Supérieure, Tome 36 (2003) pp. 57-112. doi : 10.1016/S0012-9593(03)00003-X. http://gdmltest.u-ga.fr/item/ASENS_2003_4_36_1_57_0/
[1] , , Multiloop contribution to string theory, Pisma ZhETP 42 (8) (1985) 340, [JETP Lett. 42 (1986) 419]. | MR 875755
[2] , Surgery on Simply Connected Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 65, Springer-Verlag, 1972. | MR 358813 | Zbl 0239.57016
[3] , Le symbole modéré, Inst. Hautes Études Sci. Publ. Math. 73 (1991) 147-181. | Numdam | MR 1114212 | Zbl 0749.14011
[4] Deligne P., Letters to the author, 2000-2001.
[5] , Notes on spinors, in: Quantum Fields and Strings: A Course for Mathematicians, Vol. 1, AMS, 1999, pp. 99-136. | MR 1701598 | Zbl 01735166
[6] , , The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. 36 (1969) 75-108. | Numdam | MR 262240 | Zbl 0181.48803
[7] , , , Conformal Field Theory, Graduate Texts in Contemporary Physics, Springer-Verlag, New York, 1997. | MR 1424041 | Zbl 0869.53052
[8] , , , Twisted representations of vertex operator algebras, Math. Ann. 310 (3) (1998) 571-600. | MR 1615132 | Zbl 0890.17029
[9] Frenkel I., Vertex algebras and algebraic curves, http://xxx.arXiv.org/ps/math.QA/0007054. | MR 1849359
[10] , , , Vertex Operator Algebras and the Monster, Pure Appl. Math., 134, Academic Press, Boston, MA, 1988. | MR 996026 | Zbl 0674.17001
[11] , Notes on string theory and two dimensional conformal field theory, in: , (Eds.), Workshop on Unified String Theories, ITP Santa Barbara, World Scientific, Singapore, 1985, pp. 162. | MR 849106 | Zbl 0648.53057
[12] , , , Conformal invariance, supersymmetry and string theory, Nucl. Phys. B 271 (1986) 93. | MR 845945
[13] Giraud, Cohomologie non abélienne, in: Grundlehren der math. Wissensch., Vol. 179, Springer-Verlag. | Zbl 0226.14011
[14] , Two-dimensional Conformal Geometry and Vertex Operator Algebras, Progress in Mathematics, 148, Birkhäuser, 1997. | MR 1448404 | Zbl 0884.17021
[15] , Elliptic Functions, Graduate Texts in Mathematics, 112, Springer-Verlag, 1987. | MR 890960 | Zbl 0615.14018
[16] , , Loop Groups, Oxford Science Publications, Oxford University Press, 1986. | MR 900587 | Zbl 0618.22011
[17] Luest D., Theisen S., Lectures on String Theory, Lecture Notes in Mathematics Vol. 346, Springer-Verlag. | MR 1028064 | Zbl 0716.53063
[18] , Determinants of Cauchy-Riemann operators on Riemann surfaces, Funktsional. Anal. i Prilozhen. 19 (1985) 37-41. | MR 783704 | Zbl 0603.32016
[19] , Super Riemann Surfaces, in: (Ed.), Mathematical Aspects of String Theory, Advanced Series in Mathematical Physics, 1, World Scientific, 1987. | MR 915830 | Zbl 0667.58010
[20] , , , Geometry of superconformal manifolds, Comm. Math. Phys. 119 (1988) 129-152. | MR 968484 | Zbl 0675.58010
[21] Segal G., The definition of conformal field theory, preprint. | MR 2079383
[22] , Trace Ideals and Their Applications, London Mathematical Society Lecture Note Series, 35, Cambridge University Press, 1979. | MR 541149 | Zbl 0423.47001
[23] , Graded Brauer groups, J. Reine Angew. Math. 213 (1963/64) 187-199. | MR 167498 | Zbl 0125.01904