On spin and modularity in conformal field theory

 Access to full text

 Full (PDF)

1. [1] Baranov M.A., Schwarz A.S., Multiloop contribution to string theory, Pisma ZhETP42 (8) (1985) 340, [JETP Lett.42 (1986) 419]. MR875755
2. [2] Browder W., Surgery on Simply Connected Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 65, Springer-Verlag, 1972. Zbl0239.57016MR358813
3. [3] Deligne P., Le symbole modéré, Inst. Hautes Études Sci. Publ. Math.73 (1991) 147-181. Zbl0749.14011MR1114212
4. [4] Deligne P., Letters to the author, 2000–2001. 
5. [5] Deligne P., Notes on spinors, in: Quantum Fields and Strings: A Course for Mathematicians, Vol. 1, AMS, 1999, pp. 99-136. Zbl1170.81380MR1701598
6. [6] Deligne P., Mumford D., The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math.36 (1969) 75-108. Zbl0181.48803MR262240
7. [7] Di Francesco P., Mathieu P., Senechal D., Conformal Field Theory, Graduate Texts in Contemporary Physics, Springer-Verlag, New York, 1997. Zbl0869.53052MR1424041
8. [8] Dong C., Li H., Mason G., Twisted representations of vertex operator algebras, Math. Ann.310 (3) (1998) 571-600. Zbl0890.17029MR1615132
9. [9] Frenkel I., Vertex algebras and algebraic curves, http://xxx.arXiv.org/ps/math.QA/0007054. MR1849359
10. [10] Frenkel I., Lepowsky J., Meurman A., Vertex Operator Algebras and the Monster, Pure Appl. Math., 134, Academic Press, Boston, MA, 1988. Zbl0674.17001MR996026
11. [11] Friedan D., Notes on string theory and two dimensional conformal field theory, in: Green M., Gross D. (Eds.), Workshop on Unified String Theories, ITP Santa Barbara, World Scientific, Singapore, 1985, pp. 162. Zbl0648.53057MR849106
12. [12] Friedan D., Martinec E., Shenker S., Conformal invariance, supersymmetry and string theory, Nucl. Phys. B271 (1986) 93. MR845945
13. [13] Giraud, Cohomologie non abélienne, in: Grundlehren der math. Wissensch., Vol. 179, Springer-Verlag. Zbl0226.14011
14. [14] Huang Y.Z., Two-dimensional Conformal Geometry and Vertex Operator Algebras, Progress in Mathematics, 148, Birkhäuser, 1997. Zbl0884.17021MR1448404
15. [15] Lang S., Elliptic Functions, Graduate Texts in Mathematics, 112, Springer-Verlag, 1987. Zbl0615.14018MR890960
16. [16] Pressley A., Segal G., Loop Groups, Oxford Science Publications, Oxford University Press, 1986. Zbl0618.22011MR900587
17. [17] Luest D., Theisen S., Lectures on String Theory, Lecture Notes in Mathematics Vol. 346, Springer-Verlag. Zbl0716.53063MR1028064
18. [18] Quillen D., Determinants of Cauchy–Riemann operators on Riemann surfaces, Funktsional. Anal. i Prilozhen.19 (1985) 37-41. Zbl0603.32016MR783704
19. [19] Rabin J.M., Super Riemann Surfaces, in: Yau S.T. (Ed.), Mathematical Aspects of String Theory, Advanced Series in Mathematical Physics, 1, World Scientific, 1987. Zbl0667.58010MR915830
20. [20] Rosly A.A., Schwarz A.S., Voronov A.A., Geometry of superconformal manifolds, Comm. Math. Phys.119 (1988) 129-152. Zbl0675.58010MR968484
21. [21] Segal G., The definition of conformal field theory, preprint. Zbl0657.53060MR2079383
22. [22] Simon B., Trace Ideals and Their Applications, London Mathematical Society Lecture Note Series, 35, Cambridge University Press, 1979. Zbl0423.47001MR541149
23. [23] Wall C.T.C., Graded Brauer groups, J. Reine Angew. Math.213 (1963/64) 187-199. Zbl0125.01904MR167498