Introductory Lectures on Knot Theory

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  • Introductory Lectures on Knot Theory Book Detail

  • Author : Louis H. Kauffman
  • Release Date : 2012
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 578
  • ISBN 13 : 9814307998
  • File Size : 99,99 MB

Introductory Lectures on Knot Theory by Louis H. Kauffman PDF Summary

Book Description: More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heegaard-Floer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with four-dimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book.

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Introductory Lectures on Knot Theory

Introductory Lectures on Knot Theory

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More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heeg

Introductory Lectures on Knot Theory

Introductory Lectures on Knot Theory

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More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heeg

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Knot theory is a kind of geometry, and one whose appeal is very direct because the objects studied are perceivable and tangible in everyday physical space. It i

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A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology m

Lectures in Knot Theory

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This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects. By exploring contemporary