Quantum Topology
eBook - PDF

Quantum Topology

  1. 392 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Quantum Topology

About this book

This book constitutes a review volume on the relatively new subject of Quantum Topology. Quantum Topology has its inception in the 1984/1985 discoveries of new invariants of knots and links (Jones, Homfly and Kauffman polynomials). These invariants were rapidly connected with quantum groups and methods in statistical mechanics. This was followed by Edward Witten's introduction of methods of quantum field theory into the subject and the formulation by Witten and Michael Atiyah of the concept of topological quantum field theories.This book is a review volume of on-going research activity. The papers derive from talks given at the Special Session on Knot and Topological Quantum Field Theory of the American Mathematical Society held at Dayton, Ohio in the fall of 1992. The book consists of a self-contained article by Kauffman, entitled Introduction to Quantum Topology and eighteen research articles by participants in the special session.This book should provide a useful source of ideas and results for anyone interested in the interface between topology and quantum field theory.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Quantum Topology by Louis H Kauffman, Michael P Thorman, Randy A Baadhio in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. CONTENTS
  2. PREFACE
  3. Introduction to Quantum Topology
  4. Knot Theory, Exotic Spheres And Global Gravitational Anomalies
  5. A DIAGRAMMATIC THEORY OF KNOTTED SURFACES
  6. FOUR DIMENSIONAL TQFT; a Triptych
  7. A CATEGORICAL CONSTRUCTION OF 4D TOPOLOGICAL QUANTUM FIELD THEORIES
  8. Evaluating the Crane-Yetter Invariant
  9. CANONICALLY QUANTIZED LATTICE CHERN-SIMONS THEORY
  10. Extended Structures in Topological Quantum Field Theory
  11. A Method for Computing the Arf invariants of links
  12. DIFFERENTIAL EQUATIONS FOR LOOP EXPECTATIONS IN QUANTUM GAUGE THEORIES
  13. Triangulations , Categories and Extended Topological Field Theories
  14. A GEOMETRIC CONSTRUCTION OF THE FIRST PONTRYAGIN CLASS
  15. The Casson Invariant for Two-fold Branched Covers of Links
  16. D-ALGEBRAS, THE D-SIMPLEX EQUATIONS,AND MULTIDIMENSIONAL INTEGRABILITY
  17. The Chern-Simons Character of a Lattice Gauge Field
  18. Elementary conjectures in classical knot theory
  19. KNOT POLYNOMIALS AS STATES OF NONPERTURBATIVE FOUR DIMENSIONAL QUANTUM GRAVITY
  20. ON INVARIANTS OF 3-MANIFOLDS DERIVED FROM ABELIAN GROUPS
  21. Some Knots Not Determined by Their Complements
  22. Triangulations and TQFT's
  23. List of Participants
  24. References