Elliptic Genera and Vertex Operator Super-Algebras

• Main Author: Tamanoi, Hirotaka (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Mathematics, 1704
• Subjects: Algebra.; Algebraic topology.; Nonassociative rings.; Rings (Algebra).; Mathematical physics.; Algebraic Topology.; Non-associative Rings and Algebras.; Theoretical, Mathematical and Computational Physics.

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...

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 Kähler manifolds.