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Topology and Field Theories
Edited by: Stephan Stolz, University of Notre Dame, IN

Contemporary Mathematics
2014; 176 pp; softcover
Volume: 613
ISBN-10: 1-4704-1015-X
ISBN-13: 978-1-4704-1015-5
List Price: US$78
Member Price: US$62.40
Order Code: CONM/613
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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 generalizations 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 dualizable objects.

The expository style of the articles enables non-experts to understand the basic ideas of this wide range of important topics.


Graduate students and research mathematicians interested in field theories from an algebraic topology and higher category perspective.

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