GEOMETRIC, ALGEBRAIC & TOPOLOGICAL METHODS QUANTUM FIELD THE

by Sylvie Paycha (Editor), Alexander Cardona (Editor), Hernan Ocampo (Editor), Andres F Reyes-lega (Editor), Carolina Neira-jimenez (Editor)

Overview

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.

Product Details

ISBN-13:	9789814460064
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	11/15/2013
Sold by:	Barnes & Noble
Format:	eBook
Pages:	380
File size:	20 MB
Note:	This product may take a few minutes to download.

Table of Contents

Introduction v

Part A Lectures 1

Spectral Geometry B. Iochum 3

Index Theory for Non-compact G-manifolds M. Braverman L. Cano 60

Generalized Euler Characteristics, Graph Hypersurfaces, and Feynman Periods P. Aluffi 95

Gravitation Theory and Chern-Simons Forms J. Zanelli 137

Noncommutative Geometry Models for Particle Physics M. Marcolli 189

Noncommutative Spacetimes and Quantum Physics A.P. Balachandran 224

Integrability and the AdS/CFT Correspondence M. Staudacher 255

Compactifications of String Theory and Generalized Geometry M. Graña H. Triendl 278

Part B Short Communications 313

Groupoids and Poisson Sigma Models with Boundary A. Cattaneo I. Contreras 315

A Survey on Orbifold String Topology A. Angel 331

Grothendieck Ring Class of Banana and Flower Graphs P. Morales-Almazán 346

On the Geometry Underlying a Real Lie Algebra Representation R. Vargas Le-Bert 357