Geometric, Algebraic And Topological Methods For Quantum Field Theory: Proceedings Of The 2011 Villa De Leyva Summer School, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814460052
  • ISBN-13: 9789814460057
  • DDC: 530.14
  • Grade Level Range: College Freshman - College Senior
  • 380 Pages | eBook
  • Original Copyright 2013 | Published/Released December 2014
  • This publication's content originally published in print form: 2013

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Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory.This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
1: Lectures.
2: Spectral Geometry.
3: Index Theory for Non-compact G-manifolds.
4: Generalized Euler Characteristics, Graph Hypersurfaces, and Feynman Periods.
5: Gravitation Theory and Chern-Simons Forms.
6: Noncommutative Geometry Models for Particle Physics.
7: Noncommutative Spacetimes and Quantum Physics.
8: Integrability and the Ads/CFT Correspondence.
9: Compactifications of String Theory and Generalized Geometry.
10: Short Communications.
11: Groupoids and Poisson Sigma Models with Boundary.
12: A Survey on Orbifold String Topology.
13: Grothendieck Ring Class of Banana and Flower Graphs.
14: On the Geometry Underlying a Real Lie Algebra Representation.