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  • © 2011

The Mathematics of Knots

Theory and Application

  • Brings the reader up to date on the currently most actively pursued areas of mathematical knot theory
  • Contains applications to cell biology and mathematical physics, contains survey papers as well as original research results
  • Treats low dimensional knots as well as high dimensional knots
  • Includes supplementary material: sn.pub/extras

Part of the book series: Contributions in Mathematical and Computational Sciences (CMCS, volume 1)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-X
  2. Knots, Singular Embeddings, and Monodromy

    • Markus Banagl, Sylvain E. Cappell, Julius L. Shaneson
    Pages 1-30
  3. Lower Bounds on Virtual Crossing Number and Minimal Surface Genus

    • Kumud Bhandari, H. A. Dye, Louis H. Kauffman
    Pages 31-43
  4. A Survey of Twisted Alexander Polynomials

    • Stefan Friedl, Stefano Vidussi
    Pages 45-94
  5. On Two Categorifications of the Arrow Polynomial for Virtual Knots

    • Heather Ann Dye, Louis Hirsch Kauffman, Vassily Olegovich Manturov
    Pages 95-124
  6. An Adelic Extension of the Jones Polynomial

    • Jesús Juyumaya, Sofia Lambropoulou
    Pages 125-142
  7. Embeddings of Four-valent Framed Graphs into 2-surfaces

    • Vassily Olegovich Manturov
    Pages 169-197
  8. From Goeritz Matrices to Quasi-alternating Links

    • Józef H. Przytycki
    Pages 257-316
  9. An Overview of Property 2R

    • Martin Scharlemann
    Pages 317-325
  10. DNA, Knots and Tangles

    • De Witt Sumners
    Pages 327-353
  11. Back Matter

    Pages 355-357

About this book

The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands.

Editors and Affiliations

  • Department of Mathematics, University of Heidelberg, Heidelberg, Germany

    Markus Banagl, Denis Vogel

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access