Elliptic genera and vertex operator super-algebras
By: Hirotaka Tamanoi.
Series: Lecture notes in mathematics,; 1704; Lecture notes in mathematics (Springer-Verlag) ;; 1704.
Publisher: Springer
Published: 1999
Place of publication: Berlin; New York
Language: eng
Number of pages: 390
Subjects: Infinite dimensional Lie algebras.; Riemannian manifolds.; Representations of algebras.
Description: This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.
Notes: Includes bibliographical references (p. [379]-382) and indexes.