Markov theorem for doodles on two-sphere

Abstract

In 1997 M.~Khovanov proved that any doodle can be presented as closure of twin, this result is analogue of classical Alexander's theorem for braids and links. We give a description of twins that have equivalent closures, this theorem is analogue of classical Markov theorem.

Cited by in corpus (2)

• Structural aspects of twin and pure twin groups
• Alexander and Markov theorems for virtual doodles