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Topology and Field Theories
 
Edited by: Stephan Stolz University of Notre Dame, Notre Dame, IN
Topology and Field Theories
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
Product Code:  CONM/613.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Topology and Field Theories
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Topology and Field Theories
Edited by: Stephan Stolz University of Notre Dame, Notre Dame, IN
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
Product Code:  CONM/613.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • 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.

    Readership

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

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.