This book is an elementary introduction to knot theory. Unlike many
other books on knot theory, this book has practically no
prerequisites; it requires only basic plane and spatial Euclidean
geometry but no knowledge of topology or group theory. It contains
the first elementary proof of the existence of the Alexander
polynomial of a knot or a link based on the Conway axioms,
particularly the Conway skein relation. The book also contains an
elementary exposition of the Jones polynomial, HOMFLY polynomial
and Vassiliev knot invariants constructed using the Kontsevich
integral. Additionally, there is a lecture introducing the braid
group and shows its connection with knots and links. Other
important features of the book are the large number of original
illustrations, numerous exercises and the absence of any references
in the first eleven lectures. The last two lectures differ from the
first eleven: they comprise a sketch of non-elementary topics and a
brief history of the subject, including many references.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Student Mathematical Library |
Release date: |
July 2023 |
Authors: |
A.B. Sossinsky
|
Dimensions: |
216 x 127 x 5mm (L x W x T) |
Pages: |
142 |
ISBN-13: |
978-1-4704-7151-4 |
Categories: |
Books
|
LSN: |
1-4704-7151-5 |
Barcode: |
9781470471514 |
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