Elliptic Genera and Vertex Operator Super-Algebras (Lecture Notes in Mathematics) par Igor Nikolaev

September 17, 2019

Elliptic Genera and Vertex Operator Super-Algebras (Lecture Notes in Mathematics) par Igor Nikolaev

Titre de livre: Elliptic Genera and Vertex Operator Super-Algebras (Lecture Notes in Mathematics)

Auteur: Igor Nikolaev

Broché: 302 pages

Date de sortie: June 13, 2008

ISBN: 3540660062

Éditeur: Springer

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Igor Nikolaev avec Elliptic Genera and Vertex Operator Super-Algebras (Lecture Notes in Mathematics)

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 Kahler manifolds such as Riemannian tensors and Kahler 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.