V. M. Nezhinskij, V. V. Nesterenok, “Multiplication of classical knots”, Zap. Nauchn. Sem. POMI, 2018, Volume 476,Pages <nobr>134

Multiplication of classical knots

V. M. Nezhinskij^a, V. V. Nesterenok^b

^a St. Petersburg State University, Mathematics and Mechanics Faculty, St. Petersburg, Russia
^b Herzen State Pedagogical University of Russia, St. Petersburg, Russia

Abstract: For oriented one-dimensional knots in three-dimensional Euclidean space, an operation similar to the commutator multiplication of loops is defined, and its simplest properties are studied.

Key words and phrases: knot, connected sum of knots, product of knots, Conway triple.

UDC: 515.162.8

Received: 07.12.2018