书目名称 | Elliptic Genera and Vertex Operator Super-Algebras |
编辑 | Hirotaka Tamanoi |
视频video | |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 1999 |
关键词 | Kähler manifolds; Spin representations; Vector space; Virasoro algebras; affine Lie algebras; algebra; mod |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0092541 |
isbn_softcover | 978-3-540-66006-4 |
isbn_ebook | 978-3-540-48788-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1999 |