LEADER 03252nam 22007335 450 001 9910146308203321 005 20250730103332.0 010 $a3-540-48788-3 024 7 $a10.1007/BFb0092541 035 $a(CKB)1000000000437308 035 $a(SSID)ssj0000322874 035 $a(PQKBManifestationID)12124905 035 $a(PQKBTitleCode)TC0000322874 035 $a(PQKBWorkID)10296815 035 $a(PQKB)11276731 035 $a(DE-He213)978-3-540-48788-3 035 $a(MiAaPQ)EBC5584834 035 $a(Au-PeEL)EBL5584834 035 $a(OCoLC)1066180651 035 $a(MiAaPQ)EBC6857905 035 $a(Au-PeEL)EBL6857905 035 $a(PPN)155195913 035 $a(EXLCZ)991000000000437308 100 $a20121227d1999 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aElliptic Genera and Vertex Operator Super-Algebras /$fby Hirotaka Tamanoi 205 $a1st ed. 1999. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999. 215 $a1 online resource (VIII, 396 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1704 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-66006-2 327 $aand 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. 330 $aThis monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1704 606 $aAlgebra 606 $aAlgebraic topology 606 $aNonassociative rings 606 $aMathematical physics 606 $aAlgebra 606 $aAlgebraic Topology 606 $aNon-associative Rings and Algebras 606 $aTheoretical, Mathematical and Computational Physics 615 0$aAlgebra. 615 0$aAlgebraic topology. 615 0$aNonassociative rings. 615 0$aMathematical physics. 615 14$aAlgebra. 615 24$aAlgebraic Topology. 615 24$aNon-associative Rings and Algebras. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a512.55 700 $aTamanoi$b Hirotaka$f1958-$062253 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146308203321 996 $aElliptic genera and vertex operator super-algebras$978854 997 $aUNINA