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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 1, Pages 58–63
DOI: https://doi.org/10.4213/tmf6332
(Mi tmf6332)
 

Description of braids in terms of first-order spectral problems

S. V. Talalov

Togliatti State University
References:
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
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 1, Pages 469–473
DOI: https://doi.org/10.1007/s11232-009-0037-z
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6332
  • https://www.mathnet.ru/eng/tmf/v159/i1/p58
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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