Topology and Field Theories: Center for Mathematics at Notre Dame, Summer School and Conference Topology and Field Theories May 29-june 8, 2012 ... Dame, Notre Dam

Ebook Details

Authors

Stephan Stolz

Year 2014
Pages 176
Publisher Amer Mathematical Society
Language en
ISBN 9781470410155
File Size 3.46 MB
File Format PDF
Download Counter 160
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Ebook Description

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.