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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 2, Pages 208–221
DOI: https://doi.org/10.4213/tmf770 (Mi tmf770) 		 
Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braids

R. R. Bikbova, S. K. Nechaevab

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Paris-Sud University 11
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DOI: https://doi.org/10.4213/tmf770
Abstract: We give the upper estimate for the cardinality of the set $\Omega(n,\mu)$ of knots generated by closed one- and two-dimensional braids with $n$ generators of the irreducible length $\mu$ in the limit as $n\gg1$ and $\mu\gg1$.
Received: 01.12.1998
Revised: 22.02.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 2, Pages 985–996
DOI: https://doi.org/10.1007/BF02557406
Bibliographic databases:
Language: Russian
Citation: R. R. Bikbov, S. K. Nechaev, “Upper estimate of the cardinality of the set of knots generated by one- and two-dimensional braids”, TMF, 120:2 (1999), 208–221; Theoret. and Math. Phys., 120:2 (1999), 985–996
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 2
\pages 985--996
\crossref{https://doi.org/10.1007/BF02557406}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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