LEADER 02897nam 2200625 450 001 996466616403316 005 20220223162845.0 010 $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 $a20220223d1999 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aElliptic genera and vertex operator super-algebras /$fHirotaka Tamanoi 205 $a1st ed. 1999. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1999] 210 4$d©1999 215 $a1 online resource (VIII, 396 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1704 300 $aBibliographic Level Mode of Issuance: Monograph 311 $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,$x0075-8434 ;$v1704 606 $aRiemannian manifolds 606 $aRepresentations of algebras 606 $aInfinite dimensional Lie algebras 615 0$aRiemannian manifolds. 615 0$aRepresentations of algebras. 615 0$aInfinite dimensional Lie algebras. 676 $a512.55 700 $aTamanoi$b Hirotaka$f1958-$062253 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466616403316 996 $aElliptic genera and vertex operator super-algebras$978854 997 $aUNISA