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Elliptic Genera and Vertex Operator Super-Algebras (Lecture Notes in Mathematics)

Posted on 2010-04-13




Name:Elliptic Genera and Vertex Operator Super-Algebras (Lecture Notes in Mathematics)
ASIN/ISBN:3540660062
Author:Hirotaka Tamanoi
Publisher:Springer (1999)
Language:English
Pages:Paperback, 390 pages
File size:8.47 Mb
   Elliptic Genera and Vertex Operator Super-Algebras (Lecture Notes in Mathematics)

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Author: Hirotaka Tamanoi


Publisher: Springer (1999)


Binding: Paperback, 390 pages


pricer: $65.00


ISBN-10: 3540660062


editorialreviews

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 Khler manifolds such as Riemannian tensors and Khler 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




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