Elliptic Genera and Vertex Operator Super-Algebras. 1st ed. 1999

種類:

電子ブック

責任表示:

by Hirotaka Tamanoi

出版情報:

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

著者名:

• Tamanoi, Hirotaka.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1704

ISBN:

9783540487883 [3540487883]    

注記:

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.
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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