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Description of braids in terms of first-order spectral problems
S. V. Talalov Togliatti State University
Abstract:
We consider the representation of colored braids in terms of world lines of return points of an infinite string in the space $E_{1,2}$. We propose a description of braids by a pair of first-order spectral problems for $2{\times}2$ matrices.
Keywords:
braid, three-dimensional string.
Received: 26.06.2008 Revised: 11.08.2008
Citation:
S. V. Talalov, “Description of braids in terms of first-order spectral problems”, TMF, 159:1 (2009), 58–63; Theoret. and Math. Phys., 159:1 (2009), 469–473
Linking options:
https://www.mathnet.ru/eng/tmf6332https://doi.org/10.4213/tmf6332 https://www.mathnet.ru/eng/tmf/v159/i1/p58
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Abstract page: | 354 | Full-text PDF : | 171 | References: | 65 | First page: | 5 |
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