Elliptic Genera and Vertex Operator Super-Algebras / by Hirotaka Tamanoi.

Format:

Book

Author/Creator:

Tamanoi, Hirotaka, 1958- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1704.

Lecture Notes in Mathematics, 0075-8434 ; 1704

Language:

English

Subjects (All):

Algebra.

Algebraic topology.

Algebraic Topology.

Non-associative Rings and Algebras.

Theoretical, Mathematical and Computational Physics.

Local Subjects:

Algebra.

Algebraic Topology.

Non-associative Rings and Algebras.

Theoretical, Mathematical and Computational Physics.

Physical Description:

1 online resource (VIII, 396 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.

System Details:

text file PDF

Summary:

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.

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 Kähler manifolds.

Other Format:

Printed edition:

ISBN:

9783540487883

Access Restriction:

Restricted for use by site license.