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Elliptic genera and vertex operator super-algebras

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...

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Detalles Bibliográficos
Autor principal: Tamanoi, Hirotaka
Lenguaje:eng
Publicado: Springer 1999
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0092541
http://cds.cern.ch/record/1691603
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author Tamanoi, Hirotaka
author_facet Tamanoi, Hirotaka
author_sort Tamanoi, Hirotaka
collection CERN
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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
publisher Springer
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spelling cern-16916032021-04-21T21:08:36Zdoi:10.1007/BFb0092541http://cds.cern.ch/record/1691603engTamanoi, HirotakaElliptic genera and vertex operator super-algebrasMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16916031999
spellingShingle Mathematical Physics and Mathematics
Tamanoi, Hirotaka
Elliptic genera and vertex operator super-algebras
title Elliptic genera and vertex operator super-algebras
title_full Elliptic genera and vertex operator super-algebras
title_fullStr Elliptic genera and vertex operator super-algebras
title_full_unstemmed Elliptic genera and vertex operator super-algebras
title_short Elliptic genera and vertex operator super-algebras
title_sort elliptic genera and vertex operator super-algebras
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0092541
http://cds.cern.ch/record/1691603
work_keys_str_mv AT tamanoihirotaka ellipticgeneraandvertexoperatorsuperalgebras