Overview

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.

Full Product Details

Author:   Hirotaka Tamanoi
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1999 ed.
Volume:   1704
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   1.250kg
ISBN:  

9783540660064

ISBN 10:   3540660062
Pages:   396
Publication Date:   21 June 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

and summary of results.- Elliptic genera.- Vertex operator super algebras.- G-invariant vertex operator super subalgebras.- Geometric structure in vector spaces and reduction of structure groups on manifolds.- Infinite dimensional symmetries in elliptic genera for Kahler manifolds.

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