02899nam 2200625 450 991014630820332120220223162845.03-540-48788-310.1007/BFb0092541(CKB)1000000000437308(SSID)ssj0000322874(PQKBManifestationID)12124905(PQKBTitleCode)TC0000322874(PQKBWorkID)10296815(PQKB)11276731(DE-He213)978-3-540-48788-3(MiAaPQ)EBC5584834(Au-PeEL)EBL5584834(OCoLC)1066180651(MiAaPQ)EBC6857905(Au-PeEL)EBL6857905(PPN)155195913(EXLCZ)99100000000043730820220223d1999 uy 0engurnn|008mamaatxtccrElliptic genera and vertex operator super-algebras /Hirotaka Tamanoi1st ed. 1999.Berlin, Germany ;New York, New York :Springer-Verlag,[1999]©19991 online resource (VIII, 396 p.) Lecture Notes in Mathematics,0075-8434 ;1704Bibliographic Level Mode of Issuance: Monograph3-540-66006-2 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.Lecture Notes in Mathematics,0075-8434 ;1704Riemannian manifoldsRepresentations of algebrasInfinite dimensional Lie algebrasRiemannian manifolds.Representations of algebras.Infinite dimensional Lie algebras.512.55Tamanoi Hirotaka1958-62253MiAaPQMiAaPQMiAaPQBOOK9910146308203321Elliptic genera and vertex operator super-algebras78854UNINA