03252nam 22007335 450 991014630820332120250730103332.03-540-48788-310.1007/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)99100000000043730820121227d1999 u| 0engurnn|008mamaatxtccrElliptic Genera and Vertex Operator Super-Algebras /by Hirotaka Tamanoi1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (VIII, 396 p.) Lecture Notes in Mathematics,1617-9692 ;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,1617-9692 ;1704AlgebraAlgebraic topologyNonassociative ringsMathematical physicsAlgebraAlgebraic TopologyNon-associative Rings and AlgebrasTheoretical, Mathematical and Computational PhysicsAlgebra.Algebraic topology.Nonassociative rings.Mathematical physics.Algebra.Algebraic Topology.Non-associative Rings and Algebras.Theoretical, Mathematical and Computational Physics.512.55Tamanoi Hirotaka1958-62253MiAaPQMiAaPQMiAaPQBOOK9910146308203321Elliptic genera and vertex operator super-algebras78854UNINA