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Record Nr. |
UNINA9910146308203321 |
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Autore |
Tamanoi Hirotaka <1958-> |
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Titolo |
Elliptic Genera and Vertex Operator Super-Algebras / / by Hirotaka Tamanoi |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1999 |
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ISBN |
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Edizione |
[1st ed. 1999.] |
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Descrizione fisica |
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1 online resource (VIII, 396 p.) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 1704 |
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Disciplina |
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Soggetti |
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Algebra |
Algebraic topology |
Nonassociative rings |
Mathematical physics |
Algebraic Topology |
Non-associative Rings and Algebras |
Theoretical, Mathematical and Computational Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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