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| Softcover ISBN: | 978-1-4704-1015-5 |
| Product Code: | CONM/613 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-1552-5 |
| Product Code: | CONM/613.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-1015-5 |
| eBook ISBN: | 978-1-4704-1552-5 |
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Book DetailsContemporary MathematicsVolume: 613; 2014; 176 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in field theories from an algebraic topology and higher category perspective.
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Table of Contents
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Articles
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André Henriques — Three-Tier CFTs from Frobenius Algebras
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Sergei Gukov and Ingmar Saberi — Lectures on Knot Homology and Quantum Curves
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Gijs Heuts and Jacob Lurie — Ambidexterity
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Christopher J. Schommer-Pries — Dualizability in Low-Dimensional Higher Category Theory
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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
