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Topology and Field Theories

Edited by: Stephan Stolz University of Notre Dame, Notre Dame, IN
Available Formats:
Softcover ISBN: 978-1-4704-1015-5
Product Code: CONM/613
List Price: $83.00 MAA Member Price:$74.70
AMS Member Price: $66.40 Electronic ISBN: 978-1-4704-1552-5 Product Code: CONM/613.E List Price:$78.00
MAA Member Price: $70.20 AMS Member Price:$62.40
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List Price: $124.50 MAA Member Price:$112.05
AMS Member Price: $99.60 Click above image for expanded view Topology and Field Theories Edited by: Stephan Stolz University of Notre Dame, Notre Dame, IN Available Formats:  Softcover ISBN: 978-1-4704-1015-5 Product Code: CONM/613  List Price:$83.00 MAA Member Price: $74.70 AMS Member Price:$66.40
 Electronic ISBN: 978-1-4704-1552-5 Product Code: CONM/613.E
 List Price: $78.00 MAA Member Price:$70.20 AMS Member Price: $62.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$124.50 MAA Member Price: $112.05 AMS Member Price:$99.60
• Book Details

Contemporary Mathematics
Volume: 6132014; 176 pp
MSC: Primary 57; 81; 18; 55;

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.

• Articles
• André Henriques - Three-Tier CFTs from Frobenius Algebras
• Sergei Gukov and Ingmar Saberi - Lectures on Knot Homology and Quantum Curves
• Gijs Heuts and Jacob Lurie - Ambidexterity
• Christopher J. Schommer-Pries - Dualizability in Low-Dimensional Higher Category Theory

• Requests

Review Copy – for reviewers who would like to review an AMS book
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Accessibility – to request an alternate format of an AMS title
Volume: 6132014; 176 pp
MSC: Primary 57; 81; 18; 55;

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.