TY  - GEN
AU  - Sossinsky, A. B.
TI  - Knots, links and their invariants: an elementary course in contemporary knot theory
SN  - 9781470471514
U1  - 514.2242 SOS 
PY  - 2023///
CY  - Providence, Rhode Island
PB  - American Mathematical Society
KW  - Knot Theory
KW  - Conway Polynomial
KW  - Vassiliev Invariants
KW  - Arithemtic of Knots
KW  - Link Theory
N1  - Includes index
N2  - 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.

https://bookstore.ams.org/view?ProductCode=STML/101
ER  -