Braid groups, Voronoi diagrams, and the Pentagon equations.
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发布日期:2026-03-27 16:14:38
In this talk we shall define the classical braid group and a way how to get its representation by using Voronoi diagrams and Pentagon relations.Those interested in deeper understanding and further scientific questions
are recommended to read the book by V.O.Manturov and the paper by R.Penner.
Professor Vassily Manturov is from Moscow Institute of Physics and Technology(MIPT). His research interest is low dimensional topology and knot theory. He has published more than 150 papers and got more than 1500 citations. He got "Professor of RAS" in 2016 and he is one of the Managing Editors of the "Journal of Knot Theory and Its Ramifications". He has published many books, for instance, 《Parity in knot theory and graph-links. Contemporary Mathematics. Fundamental Directions》, 《Low-dimensional Topology and Combinatorial Group Theory》, 《Virtual Knots. The State of the Art》 and 《Knot Theory》. He held many international conferences, such as "4-th Russian China Russia-China on Knot theory and Related topics" and three International Conferences in the Mathematical Institute (Oberwolfach) on knot theory and low-dimensional topology".
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