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Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics) - Hardcover
Synopsis
The theory of vertex operator algebras and their representations has been showing its power in the solution of concrete mathematical problems and in the understanding of conceptual but subtle mathematical and physical struc- tures of conformal field theories. Much of the recent progress has deep connec- tions with complex analysis and conformal geometry. Future developments, especially constructions and studies of higher-genus theories, will need a solid geometric theory of vertex operator algebras. Back in 1986, Manin already observed in [Man) that the quantum theory of (super )strings existed (in some sense) in two entirely different mathematical fields. Under canonical quantization this theory appeared to a mathematician as the representation theories of the Heisenberg, Vir as oro and affine Kac- Moody algebras and their superextensions. Quantization with the help of the Polyakov path integral led on the other hand to the analytic theory of algebraic (super ) curves and their moduli spaces, to invariants of the type of the analytic curvature, and so on. He pointed out further that establishing direct mathematical connections between these two forms of a single theory was a "big and important problem. " On the one hand, the theory of vertex operator algebras and their repre- sentations unifies (and considerably extends) the representation theories of the Heisenberg, Virasoro and Kac-Moody algebras and their superextensions.
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Review
"The exposition is clear and accessible. The necessary background material...is explained in detail in three appendices [and] another appendix consists of answers to some exercises formulated in the text... Self-contained to a high degree... Highly recommended."
--ZAA
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Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics)
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Two-dimensional conformal geometry and vertex operator algebras Yi-Zhi Huang. Progress in mathematics 148.
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 17 HUA 9780817638290 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2508005
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Two-dimensional conformal geometry and vertex operator algebras. Progress in mathematics; Bd. 148.
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Two-dimensional conformal geometry and vertex operator algebras Yi-Zhi Huang. Progress in mathematics 148.
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Boston Basel, Birkhäuser, 1997
ISBN 10: 0817638296
ISBN 13: 9780817638290
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 17 HUA 9780817638290 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2499362
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Two-Dimensional Conformal Geometry and Vertex Operator Algebras
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Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Hardcover)
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Birkhauser Boston, Berlin, 1997
ISBN 10: 0817638296
ISBN 13: 9780817638290
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Hardcover
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Hardcover. Condition: new. Hardcover. The focus of this volume is to formulate and prove one main theorem, the equivalance between the algebraic and geometric formulations of the notion of vertex operator algebra. The author introduces a geomatric notion of vertex operator algebra in terms of complex powers of the determinant line bundles over certain moduli spaces (parameter spaces) of spheres (genus-zero Riemann surfaces) with punctures and local analytic co-ordinates, and seeks to prove that this notion is precisely equivalent to the algebraic notion of vertex operator algebra. In particular, a detailed algebraic and analytic study of the sewing operation in the moduli space is presented. The focus of this volume is to formulate and prove one main theorem, the equivalance between the algebraic and geometric formulations of the notion of vertex operator algebra. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780817638290
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Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics)
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Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics)
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Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Progress in Mathematics)
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Two-Dimensional Conformal Geometry and Vertex Operator Algebras
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