Hamiltonian dynamics generated by Vassiliev invariants (Q2716241)
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scientific article; zbMATH DE number 1602302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamiltonian dynamics generated by Vassiliev invariants |
scientific article; zbMATH DE number 1602302 |
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Hamiltonian dynamics generated by Vassiliev invariants (English)
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6 June 2001
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knot invariants
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Vassiliev invariants
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topological invariants
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Hamiltonian dynamics
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braiding motion of three particles
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higher-order winding numbers
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Vassiliev-Kontsevich integrals
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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.
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