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  • © 1999

Elliptic Genera and Vertex Operator Super-Algebras

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1704)

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  • ISBN: 978-3-540-48788-3
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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VI
  2. Introduction and summary of results

    • Hirotaka Tamanoi
    Pages 1-21
  3. Elliptic genera

    • Hirotaka Tamanoi
    Pages 22-48
  4. Vertex operator super algebras

    • Hirotaka Tamanoi
    Pages 49-92
  5. G-invariant vertex operator super subalgebras

    • Hirotaka Tamanoi
    Pages 93-221
  6. Back Matter

    Pages 379-390

About this book

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.

Keywords

  • Kähler manifolds
  • Spin representations
  • Vector space
  • Virasoro algebras
  • affine Lie algebras
  • algebra
  • modular functions
  • super algebras
  • vertex operator

Bibliographic Information

Buying options

eBook
USD 49.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-48788-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 65.00
Price excludes VAT (USA)