CORDIS Project
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WEB3 explores the connection between braid group theory and the dynamics of three-dimensional manifolds. By employing welded braid groups, it aims to advance understanding of periodic points and orbit structures in low-dimensional topology.
The connection between braid group theory and topological dynamics arises from the remarkable applications of braid group theory to the study of the periodic orbit structure of iterated surface homeomorphisms.
It began the early 1980s and has since grown into a significant area within the theory of low-dimensional dynamical systems.
Braid theory, a very powerful and important tool, has been used extensively, among others, by Boyland, Ghrist, Guaschi, Hall, Matsuoka and Vandervorst for proving th…
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