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Topology and Field Theories

Stephan Stolz (editor)

ISBN: 9781470410155

Publication Date: Apr 2014

Format: Paperback

Presents a collection of articles on Topology and Field Theories. It covers construction of a local conformal field theory associated to a compact Lie group; field theory interpretation of certain polynomial invariants associated to knots and links; homotopy theoretic construction of far-reaching generalisations of the topological field theories that Dijkgraf and Witten associated to finite groups; and the action of the orthogonal group O(n) on the full subcategory of an n-category consisting of the fully dualisable objects.
£76.50

Temporarily out of stock: usually despatched in 10-14 days

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This book is a collection of expository articles based on four lecture series presented during the 2012 Notre Dame Summer School in Topology and Field Theories.

The four topics covered in this volume are: Construction of a local conformal field theory associated to a compact Lie group, a level and a Frobenius object in the corresponding fusion category; Field theory interpretation of certain polynomial invariants associated to knots and links; Homotopy theoretic construction of far-reaching generalisations of the topological field theories that Dijkgraf and Witten associated to finite groups; and a discussion of the action of the orthogonal group O(n) on the full subcategory of an n-category consisting of the fully dualisable objects.

The expository style of the articles enables non-experts to understand the basic ideas of this wide range of important topics.
Pages 183
Dimensions 254 x 178
Date Published 30 Apr 2014
Publisher American Mathematical Society
Series Contemporary Mathematics
Series Part 613
Subject/s Topology   Geometry   Mathematical physics  
  • Three-tier CFTs from Frobenius algebras by A. Henriques
  • Lectures on knot homology and quantum curves by S. Gukov and I. Saberi
  • Ambidexterity by G. Heuts and J. Lurie
  • Dualizability in low-dimensional higher category theory by C. J. Schommer-Pries
Stephan Stolz, University of Notre Dame.

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