Lecture Notes in Mathematics

Tamanoi, Hirotaka

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.

Details

Published by: Springer

Publication Date: 1999-06-21

Format: Paperback

ISBN-13: 9783540660064

DOI: 10.1007/BFb0092541

Dimensions: 235cm x155cm

Pages: 396