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ISBN: 9780817638290
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1997, ISBN: 0817638296
Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. 412918/202. Two-Dimensional Conformal Geometry and Vertex Operator Algebras von Hua… Mehr…
Yi-Zhi Huang:
Two-Dimensional Conformal Geometry and Vertex Operator Algebras by Yi-Zhi Huang - gebrauchtes BuchISBN: 9780817638290
The theory of vertex operator algebras is showing its power in the solution of concrete mathematical problems as well as in the comprehension of conceptual structures of conformal field t… Mehr…
1997
ISBN: 0817638296
1997 Gebundene Ausgabe Algebra, Gruppen und Gruppentheorie, Geometrie, Algebraische Geometrie, Mathematische Physik, Complexanalysis; convergence; field; Integral; linearalgebra; manifo… Mehr…
1997, ISBN: 0817638296
Gebundene Ausgabe
[EAN: 9780817638290], Gebraucht, sehr guter Zustand, [SC: 0.0], [PU: Birkhäuser Boston], Former library book; may include library markings. Used book that is in excellent condition. May s… Mehr…
ISBN: 9780817638290
There is currently no description available, Birkhäuser
Bibliographische Daten des bestpassenden Buches
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Detailangaben zum Buch - Two-Dimensional Conformal Geometry and Vertex Operator Algebras: 148 (Progress in Mathematics)
EAN (ISBN-13): 9780817638290
ISBN (ISBN-10): 0817638296
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: FisicalBook
280 Seiten
Gewicht: 0,613 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 2007-06-06T17:23:24+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-17T14:58:50+01:00 (Berlin)
ISBN/EAN: 9780817638290
ISBN - alternative Schreibweisen:
0-8176-3829-6, 978-0-8176-3829-0
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: huang, zhi, birkhäuser, heisenberg, polyakov
Titel des Buches: algeb, vertex, near algebras, conformal geometry, opera, huang, algebra, dimensional, operator algebras
Daten vom Verlag:
Autor/in: Yi-Zhi Huang
Titel: Progress in Mathematics; Two-Dimensional Conformal Geometry and Vertex Operator Algebras
Verlag: Birkhäuser; Birkhäuser Boston
282 Seiten
Erscheinungsjahr: 1997-07-15
Boston; MA; US
Sprache: Englisch
109,99 € (DE)
BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Dimension; Grad; Riemann surface; algebra; complex analysis; convergence; field; geometry; integral; linear algebra; manifold; operator; operator algebra; path integral; quantum theory; Algebraic Geometry; Operator Theory; Topological Groups and Lie Groups; Mathematical Methods in Physics; Geometry; Algebra; Funktionalanalysis und Abwandlungen; Gruppen und Gruppentheorie; Mathematische Physik; Geometrie; Algebra; EA; BC
Notational conventions.- 1. Spheres with tubes.- 1.1. Definitions.- 1.2. The sewing operation.- 1.3. The moduli spaces of spheres with tubes.- 1.4. The sewing equation.- 1.5. Meromorphic functions on the moduli spaces and meromorphic tangent spaces.- 2. Algebraic study of the sewing operation.- 2.1. Formal power series and exponentials of derivations.- 2.2. The formal sewing equation and the sewing identities.- 3. Geometric study of the sewing operation.- 3.1. Moduli spaces, meromorphic functions and meromorphic tangent spaces revisited.- 3.2. The sewing operation and spheres with tubes of type (1,0), (1,1) and (1,2).- 3.3. Generalized spheres with tubes.- 3.4. The sewing formulas and the convergence of the associated series via the Fischer-Grauert Theorem.- 3.5. A Virasoro algebra structure of central charge 0 on the meromorphic tangent space of K(1) at its identity.- 4. Realizations of the sewing identities.- 4.1. The Virasoro algebra and modules.- 4.2. Realizations of the sewing identities for general representations of the Virasoro algebra.- 4.3. Realizations of the sewing identities for positive energy representations of the Virasoro algebra.- 5. Geometric vertex operator algebras.- 5.1. Linear algebra of graded vector spaces with finite-dimensional homogeneous subspaces.- 5.2. The notion of geometric vertex operator algebra.- 5.3. Vertex operator algebras.- 5.4. The isomorphism between the category of geometric vertex operator algebras and the category of vertex operator algebras.- 6. Vertex partial operads.- 6.1. The ?x -rescalable partial operad structure on the sequence K of moduli spaces.- 6.2. The topological and analytic structures on K.- 6.3. The associativity of the sphere partial operad K.- 6.4. Suboperads and partial suboperads of K.- 6.5. Thedeterminant line bundles over K and the partial operad structure.- 6.6. Meromorphic tangent spaces of determinant line bundles and a module for the Virasoro algebra.- 6.7. Proof of the convergence of projective factors in the sewing axiom.- 6.8. Complex powers of the determinant line bundles.- 6.9. ?-extensions of K.- 7. The isomorphism theorem and applications.- 7.1. Vertex associative algebras.- 7.2. The isomorphism theorem.- 7.3. Geometric construction of some Virasoro vertex operator algebras.- 7.4. Isomorphic vertex operator algebras induced from conformal maps.- Appendix A. Answers to selected exercises.- A.1. Exercise 1.3.5: The proof of Proposition 1.3.4.- A.2. Exercise 2.1.8: Another proof of Proposition 2.1.7.- A.3. Exercise 2.1.12: The proof of Proposition 2.1.11.- A.4. Exercise 2.1.17: The proof of Proposition 2.1.16.- A.5. Exercise 2.1.20: The proof of Proposition 2.1.19.- A.6. Exercise 3.4.2: The sewing formulas.- A.7. Exercise 3.5.1: The definition of the Virasoro bracket.- A.8. Exercise 3.5.3: The calculation of the Virasoro bracket.- A.10. Exercise 5.4.3: The proof of the formula (5.4.10).- A.11. Exercise 6.6.3: The proof of the formula (6.6.20).- A.12. Exercise 6.7.2: The proof of Lemma 6.7.1.- Appendix B. (LB)-spaces and complex (LB)-manifolds.- Appendix C. Operads and partial operads.- C.1. Operads, partial operads and associated algebraic structures.- C.2. Rescaling groups for partial operads, rescalable partial operads and associated algebraic structures.- C.3. Another definition of (partial) operad.- Appendix D. Determinant lines and determinant line bundles.- D.1. Some classes of bounded linear operators.- D.2. Determinant lines.- D.3. Determinant lines over Riemann surfaces with parametrized boundaries.- D.4. Canonical isomorphisms associatedto sewing and determinant line bundles over moduli spaces.- D.6. One-dimensional genus-zero modular functors and the Mumford-Segal theorem.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
Neuestes ähnliches Buch:
9781461242765 Two-Dimensional Conformal Geometry and Vertex Operator Algebras (Philip J. Davis)
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