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＜電子ブック＞
Elliptic Genera and Vertex Operator Super-Algebras / by Hirotaka Tamanoi
(Lecture Notes in Mathematics. ISSN:16179692 ; 1704)

版	1st ed. 1999.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	VIII, 396 p : online resource
著者標目	*Tamanoi, Hirotaka author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Algebraic topology LCSH:Nonassociative rings LCSH:Mathematical physics FREE:Algebra FREE:Algebraic Topology FREE:Non-associative Rings and Algebras FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 HTTP:URL=https://doi.org/10.1007/BFb0092541

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