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Research Papers
On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid
A. V. Malyutin St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
Sufficient conditions for a closed $n$-braid $\widehat\beta$ to have infinite sets $\mathfrak D(\widehat\beta)$ and $\mathfrak S(\widehat\beta)$ are given, where $\mathfrak D(\widehat\beta)$ denotes the set of all closed $(n-1)$-braids that are obtained from $\widehat\beta$ via Markov destabilization, while $\mathfrak S(\widehat\beta)$ denotes the set of all closed $(n+1)$-braids that are obtained from $\widehat\beta$ via Markov stabilization. New integer-valued conjugacy invariants for the braid group are introduced.
Received: 12.06.2006
Citation:
A. V. Malyutin, “On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid”, Algebra i Analiz, 18:6 (2006), 205–218; St. Petersburg Math. J., 18:6 (2007), 1011–1020
Linking options:
https://www.mathnet.ru/eng/aa98 https://www.mathnet.ru/eng/aa/v18/i6/p205
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Abstract page: | 375 | Full-text PDF : | 107 | References: | 43 | First page: | 4 |
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