Quantum Invariants of Knots and 3-Manifolds.

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This monograph, now in its second revised edition, provides a systematic treatment of topological quantum field theories in three dimensions, inspired by the discovery of the Jones polynomial of knots, the Witten-Chern-Simons field theory, and the theory of quantum groups. The author, one of the lea...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Turaev, V. G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : Walter de Gruyter, 2010.
Edición:2nd ed.
Colección:De Gruyter studies in mathematics.
Temas:
Invariants.
Knot theory.
Quantum field theory.
Three-manifolds.
Théorie des nœuds.
Théorie quantique des champs.
Invariants
Knot theory
Quantum field theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter; Contents; Introduction; Chapter I. Invariants of graphs in Euclidean 3-space; Chapter II. Invariants of closed 3-manifolds; Chapter III. Foundations of topological quantum?eld theory; Chapter IV. Three-dimensional topological quantum field theory; Chapter V. Two-dimensional modular functors; Chapter VI. 6j-symbols; Chapter VII. Simplicial state sums on 3-manifolds; Chapter VIII. Generalities on shadows; Chapter IX. Shadows of manifolds; Chapter X. State sums on shadows; Chapter XI. An algebraic construction of modular categories.
  • Chapter XII. A geometric construction of modular categoriesBackmatter.

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