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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 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.
This is a digital product.
Elliptic Genera and Vertex Operator Super-Algebras is written by Hirotaka Tamanoi and published by Springer. The Digital and eTextbook ISBNs for Elliptic Genera and Vertex Operator Super-Algebras are 9783540487883, 3540487883 and the print ISBNs are 9783540660064, 3540660062.
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