Elliptic Genera and Vertex Operator - E-book

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Elliptic Genera And Vertex Operator Super-algebras - ENG

Hirotaka Tamanoi

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Sinopsis

ISBN:	9783540487883
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Álgebra general
Año de publicación:	2006-11-14

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 KÃ¤hler manifolds such as Riemannian tensors and KÃ¤hler 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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