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Geometric and Topological Methods for Quantum Field Theory

$124.00 (C)

  • Editors:
  • Hernan Ocampo, Universidad del Valle, Colombia
  • Eddy Pariguan, Pontificia Universidad Javeriana, Colombia
  • Sylvie Paycha, Université de Clermont-Ferrand II (Université Blaise Pascal), France
Paul Kirk, Martin A. Guest, Claire Debord, Jean-Marie Lescure, Alessandra Frabetti, José M. Gracia-Bondía, David Berenstein, Martin Reuter, Frank Saueressig, Andrés Angel, Carlos Benavides, Andrés Reyes-Lega, Jaime R. Camacaro, Juan Carlos Moreno, Marie-Françoise Ouedraogo, Marlio Paredes, Sofia Pinzón, Jorge Plazas
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  • Date Published: June 2010
  • availability: In stock
  • format: Hardback
  • isbn: 9780521764827

$ 124.00 (C)
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About the Authors
  • Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.

    • Examines current active research topics in mathematics and physics
    • Chapters are self-contained and present introductory material before moving on to more advanced results
    • Contains both mathematics and physics presentations, with a focus on interdisciplinary aspects
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    Product details

    • Date Published: June 2010
    • format: Hardback
    • isbn: 9780521764827
    • length: 434 pages
    • dimensions: 254 x 179 x 25 mm
    • weight: 1.01kg
    • contains: 34 b/w illus.
    • availability: In stock
  • Table of Contents

    Introduction
    1. The impact of QFT on low-dimensional topology Paul Kirk
    2. Differential equations aspects of quantum cohomology Martin A. Guest
    3. Index theory and groupoids Claire Debord and Jean-Marie Lescure
    4. Renormalization Hopf algebras and combinatorial groups Alessandra Frabetti
    5. BRS invariance for massive boson fields José M. Gracia-Bondía
    6. Large N field theories and geometry David Berenstein
    7. Functional renormalization group equations, asymptotic safety, and quantum Einstein gravity Martin Reuter and Frank Saueressig
    8. When is a differentiable manifold the boundary of an orbifold? Andrés Angel
    9. Canonical group quantization, rotation generators and quantum indistinguishability Carlos Benavides and Andrés Reyes-Lega
    10. Conserved currents in Kähler manifolds Jaime R. Camacaro and Juan Carlos Moreno
    11. A symmetrized canonical determinant on odd-class pseudodifferential operators Marie-Françoise Ouedraogo
    12. Some remarks about cosymplectic metrics on maximal flag manifolds Marlio Paredes and Sofia Pinzón
    13. Heisenberg modules over real multiplication noncommutative tori and related algebraic structures Jorge Plazas
    Index.

  • Editors

    Hernan Ocampo, Universidad del Valle, Colombia
    Hernán Ocampo is a Professor of Theoretical Physics at the University del Valle, Colombia.

    Eddy Pariguan, Pontificia Universidad Javeriana, Colombia
    Eddy Pariguán is an Associate Professor in Mathematics at the University La Javeriana, Colombia.

    Sylvie Paycha, Université de Clermont-Ferrand II (Université Blaise Pascal), France
    Sylvie Paycha is a Professor of Mathematics at the University Blaise Pascal, France.

    Contributors

    Paul Kirk, Martin A. Guest, Claire Debord, Jean-Marie Lescure, Alessandra Frabetti, José M. Gracia-Bondía, David Berenstein, Martin Reuter, Frank Saueressig, Andrés Angel, Carlos Benavides, Andrés Reyes-Lega, Jaime R. Camacaro, Juan Carlos Moreno, Marie-Françoise Ouedraogo, Marlio Paredes, Sofia Pinzón, Jorge Plazas

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