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- catalog abstract "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.".
- catalog contributor b11342122.
- catalog created "1999.".
- catalog date "1999".
- catalog date "1999.".
- catalog dateCopyrighted "1999.".
- catalog description "Includes bibliographical references and indexes.".
- catalog description "Introduction and summary of results -- Elliptic genera -- Vertex Operator super-algebras -- G-invariant vertex operator super subalgebras -- Geometric structures in vector spaces and structure groups on manifolds -- Infinite dimensional symmetries in elliptic genera for Kähler manifolds.".
- catalog description "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.".
- catalog extent "vi, 390 p. ;".
- catalog identifier "3540660062 (softbound : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1704.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1704".
- catalog issued "1999".
- catalog issued "1999.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "510 s 512/.55 21".
- catalog subject "Algebra.".
- catalog subject "Algebraic topology.".
- catalog subject "Infinite dimensional Lie algebras.".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1704 QA252.3".
- catalog subject "Representations of algebras.".
- catalog subject "Riemannian manifolds.".
- catalog tableOfContents "Introduction and summary of results -- Elliptic genera -- Vertex Operator super-algebras -- G-invariant vertex operator super subalgebras -- Geometric structures in vector spaces and structure groups on manifolds -- Infinite dimensional symmetries in elliptic genera for Kähler manifolds.".
- catalog title "Elliptic genera and vertex operator super-algebras / Hirotaka Tamanoi.".
- catalog type "text".