Hamiltonian dynamics generated by Vassiliev invariants
The author uses complex-valued approach to Hamiltonian dynamics in order to study the braiding motion of three particles, in connection with higher-order winding numbers. These winding numbers are related to various invariants known in topology and knot theory, for example Massey and Milnor numbers, and can be derived from Vassiliev-Kontsevich integrals [\textit{M. Kontsevich}, Gelfand, Sergej (ed.) et al., I. M. Gelfand seminar. Part 2: Papers of the Gelfand seminar in functional analysis held at Moscow University, Russia, September 1993. Providence, RI: American Mathematical Society. Adv. Sov. Math. 16(2), 137-150 (1993; Zbl 0839.57006)]. The paper contains five very interesting diagrams, but some figures are available in colour only in the electronic version of this paper at www.iop.org.
scientific article; zbMATH DE number 1602302