A modular invariance on the theta functions defined on vertex operator algebras

Duke Mathematical Journal

Volumn 101, Issue 2, 2000, Pages 221-236

  Miyamoto, Masahiko ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034134404     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-00-10123-8     Document Type: Article

References (9)

1. R. E. Borcherds, Vertex algebras, Kac-Moody algebras, and the Monster, Proc. Nat. Acad. Sci. U.S.A. 83 (1986), 3068-3071.
2. J. H. Conway and S. P. Norton, Monstrous moonshine, Bull. London Math. Soc. 11 (1979), 308-339.
3. C. Dong, Vertex algebras associated with even lattices, J. Algebra 161 (1993), 245-265.
4. C. Dong, H. Li, and G. Mason, Modular-invariance of trace functions in orbifold theory, preprint.
5. C. Dong, Z. Lin, and G. Mason, “On vertex operator algebras as sl2-modules” in Groups, Difference Sets, and the Monster (Columbus, Ohio, 1993), Ohio State Univ. Math. Res. Inst. Publ. 4, de Gruyter, Berlin, 1996, 349-362.
6. I. B. Frenkel, Y.-Z. Huang, and J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules, Mem. Amer. Math. Soc. 104 (1993), no. 494.
7. I. B. Frenkel, J. Lepowsky, and A. Meurman, Vertex Operator Algebras and the Monster, Pure Appl. Math. 134, Academic Press, Boston, 1988.
8. D. Mumford, Tata Lectures on Theta, I, Progr. Math. 28, Birkhauser, Boston, 1983.
9. Y. Zhu, Modular invariance of characters of vertex operator algebras, J. Amer. Math. Soc. 9 (1996), 237-302.