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Topics in Knot Theory

  • Book
  • © 1993

Overview

Editors:
  1. M. E. Bozhüyük

    1. Fen-Edebiyat Fakültesi, Atatürk Üniversitesi, Erzurum, Turkey

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Part of the book series: Nato Science Series C: (ASIC, volume 399)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Knot Projections and Knot Coverings

    • Mehmet Emin Bozhüyük
    Pages 1-14

  3. Knots and Knot Spaces

    • Gerhard Burde
    Pages 15-23

  4. Knot Groups

    • Gerhard Burde
    Pages 25-31

  5. An Introduction to Species and the Rack Space

    • Roger Fenn, Colin Rourke, Brian Sanderson
    Pages 33-55

  6. Some Remarks on the Braid-Permutation Group

    • Roger Fenn, Richárd Rimányi, Colin Rourke
    Pages 57-68

  7. Introduction to Topological Imitations of (3,1)-Dimensional Manifold Pairs

    • Akio Kawauchi
    Pages 69-83

  8. A Wild Variation of Artin’s Braids

    • Siegfried Moran
    Pages 85-106

  9. Invariants of Links and 3-Manifolds From Skein Theory and From Quantum Groups

    • H. R. Morton
    Pages 107-155

  10. Classical Numerical Invariants in Knot Theory

    • Kunio Murasugi
    Pages 157-194

  11. The Quest for a Knot with Trivial Jones Polynomial: Diagram Surgery and the Temperley-Lieb Algebra

    • Dale Rolfsen
    Pages 195-210

  12. Twisted Topological Invariants Associated with Representations

    • Boju Jiang, Shicheng Wang
    Pages 211-227

  13. On the Alexander and Jones Polynomial

    • Heiner Zieschang
    Pages 229-257

  14. Hyperbolic 3-Dimensional Orbifolds

    • Marcel A. Hagelberg
    Pages 259-268

  15. Irregular Dihedral Branched Coverings of Knots

    • Toshio Harikae, Yoshiaki Uchida
    Pages 269-276

  16. 2-Dimensional Braids and Chart Descriptions

    • Seiichi Kamada
    Pages 277-287

  17. On Links Embedded into Surfaces of Heegaard Splittings of S 3

    • O. Karalashvili
    Pages 289-303

  18. A Search for Kernels of Burau Representations

    • Djun M. Kim
    Pages 305-317

  19. The Witten—Reshetikhin—Turaev invariant for three—manifolds

    • Richárd Rimányi
    Pages 319-347

  20. Back Matter

    Pages 349-353
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Keywords

About this book

Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions.
For mathematicians, graduate students and scientists interested in knot theory.

Editors and Affiliations

  • Fen-Edebiyat Fakültesi, Atatürk Üniversitesi, Erzurum, Turkey

    M. E. Bozhüyük

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