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Elliptic Genera and Vertex Operator Super-Algebras (Paperback, 1999 ed.)
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Elliptic Genera and Vertex Operator Super-Algebras (Paperback, 1999 ed.)
Series: Lecture Notes in Mathematics, 1704
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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 K hler manifolds such as
Riemannian tensors and K hler 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.
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