Introductory Lectures on Knot Theory is popular PDF and ePub book, written by Louis H. Kauffman in 2012, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introductory Lectures on Knot Theory can be Read Online from any device for your convenience.
Introductory Lectures on Knot Theory Book PDF Summary
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.
Detail Book of Introductory Lectures on Knot Theory PDF
- Author : Louis H. Kauffman
- Release : 20 September 2024
- Publisher : World Scientific
- ISBN : 9789814313001
- Genre : Mathematics
- Total Page : 577 pages
- Language : English
- PDF File Size : 9,6 Mb
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