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Elliptic Genera and Vertex Operator Super-Algebras [electronic resource] /
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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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1999
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| Subjects: | Mathematics., Algebra., Nonassociative rings., Rings (Algebra)., Algebraic topology., Physics., Algebraic Topology., Non-associative Rings and Algebras., Theoretical, Mathematical and Computational Physics., |
| Online Access: | http://dx.doi.org/10.1007/BFb0092541 |
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KOHA-OAI-TEST:1988232018-07-30T23:25:20ZElliptic Genera and Vertex Operator Super-Algebras [electronic resource] / Tamanoi, Hirotaka. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1999.engThis 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.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.Mathematics.Algebra.Nonassociative rings.Rings (Algebra).Algebraic topology.Physics.Mathematics.Algebra.Algebraic Topology.Non-associative Rings and Algebras.Theoretical, Mathematical and Computational Physics.Springer eBookshttp://dx.doi.org/10.1007/BFb0092541URN:ISBN:9783540487883 |
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COLPOS |
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México |
| countrycode |
MX |
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cat-colpos |
| tag |
biblioteca |
| region |
America del Norte |
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| language |
eng |
| topic |
Mathematics. Algebra. Nonassociative rings. Rings (Algebra). Algebraic topology. Physics. Mathematics. Algebra. Algebraic Topology. Non-associative Rings and Algebras. Theoretical, Mathematical and Computational Physics. Mathematics. Algebra. Nonassociative rings. Rings (Algebra). Algebraic topology. Physics. Mathematics. Algebra. Algebraic Topology. Non-associative Rings and Algebras. Theoretical, Mathematical and Computational Physics. |
| spellingShingle |
Mathematics. Algebra. Nonassociative rings. Rings (Algebra). Algebraic topology. Physics. Mathematics. Algebra. Algebraic Topology. Non-associative Rings and Algebras. Theoretical, Mathematical and Computational Physics. Mathematics. Algebra. Nonassociative rings. Rings (Algebra). Algebraic topology. Physics. Mathematics. Algebra. Algebraic Topology. Non-associative Rings and Algebras. Theoretical, Mathematical and Computational Physics. Tamanoi, Hirotaka. author. SpringerLink (Online service) Elliptic Genera and Vertex Operator Super-Algebras [electronic resource] / |
| description |
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. |
| format |
Texto |
| topic_facet |
Mathematics. Algebra. Nonassociative rings. Rings (Algebra). Algebraic topology. Physics. Mathematics. Algebra. Algebraic Topology. Non-associative Rings and Algebras. Theoretical, Mathematical and Computational Physics. |
| author |
Tamanoi, Hirotaka. author. SpringerLink (Online service) |
| author_facet |
Tamanoi, Hirotaka. author. SpringerLink (Online service) |
| author_sort |
Tamanoi, Hirotaka. author. |
| title |
Elliptic Genera and Vertex Operator Super-Algebras [electronic resource] / |
| title_short |
Elliptic Genera and Vertex Operator Super-Algebras [electronic resource] / |
| title_full |
Elliptic Genera and Vertex Operator Super-Algebras [electronic resource] / |
| title_fullStr |
Elliptic Genera and Vertex Operator Super-Algebras [electronic resource] / |
| title_full_unstemmed |
Elliptic Genera and Vertex Operator Super-Algebras [electronic resource] / |
| title_sort |
elliptic genera and vertex operator super-algebras [electronic resource] / |
| publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
| publishDate |
1999 |
| url |
http://dx.doi.org/10.1007/BFb0092541 |
| work_keys_str_mv |
AT tamanoihirotakaauthor ellipticgeneraandvertexoperatorsuperalgebraselectronicresource AT springerlinkonlineservice ellipticgeneraandvertexoperatorsuperalgebraselectronicresource |
| _version_ |
1756267206967033856 |