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On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid. / Malyutin, A. V.

In: St. Petersburg Mathematical Journal, Vol. 18, No. 6, 01.01.2007, p. 1011-1020.

Research output: Contribution to journal › Article › peer-review

Harvard

Malyutin, AV 2007, 'On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid', St. Petersburg Mathematical Journal, vol. 18, no. 6, pp. 1011-1020. https://doi.org/10.1090/S1061-0022-07-00980-6

APA

Malyutin, A. V. (2007). On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid. St. Petersburg Mathematical Journal, 18(6), 1011-1020. https://doi.org/10.1090/S1061-0022-07-00980-6

Vancouver

Malyutin AV. On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid. St. Petersburg Mathematical Journal. 2007 Jan 1;18(6):1011-1020. https://doi.org/10.1090/S1061-0022-07-00980-6

Author

Malyutin, A. V. / On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid. In: St. Petersburg Mathematical Journal. 2007 ; Vol. 18, No. 6. pp. 1011-1020.

BibTeX

@article{c8f571eeee5d4e4d9b80ec435b80a6bd,
title = "On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid",
abstract = "Sufficient conditions for a closed n-braid (Formula Presented) to have infinite sets (Formula Presented) and (Formula Presented) are given, where (Formula Presented) denotes the set of all closed (n − 1)-braids that are obtained from (Formula Presented) via Markov destabilization, while (Formula Presented) denotes the set of all closed (n+1)-braids that are obtained from (Formula Presented) via Markov stabilization. New integer-valued conjugacy invariants for the braid group are introduced.",
keywords = "Braid group, Conjugacy invariant, Link theory, Markov destabilization, Markov stabilization",
author = "Malyutin, {A. V.}",
year = "2007",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-07-00980-6",
language = "English",
volume = "18",
pages = "1011--1020",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "6",

}

RIS

TY - JOUR

T1 - On the number of closed braids obtained as a result of single stabilizations and destabilizations of a closed braid

AU - Malyutin, A. V.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - Sufficient conditions for a closed n-braid (Formula Presented) to have infinite sets (Formula Presented) and (Formula Presented) are given, where (Formula Presented) denotes the set of all closed (n − 1)-braids that are obtained from (Formula Presented) via Markov destabilization, while (Formula Presented) denotes the set of all closed (n+1)-braids that are obtained from (Formula Presented) via Markov stabilization. New integer-valued conjugacy invariants for the braid group are introduced.

AB - Sufficient conditions for a closed n-braid (Formula Presented) to have infinite sets (Formula Presented) and (Formula Presented) are given, where (Formula Presented) denotes the set of all closed (n − 1)-braids that are obtained from (Formula Presented) via Markov destabilization, while (Formula Presented) denotes the set of all closed (n+1)-braids that are obtained from (Formula Presented) via Markov stabilization. New integer-valued conjugacy invariants for the braid group are introduced.

KW - Braid group

KW - Conjugacy invariant

KW - Link theory

KW - Markov destabilization

KW - Markov stabilization

UR - http://www.scopus.com/inward/record.url?scp=85009811566&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-07-00980-6

DO - 10.1090/S1061-0022-07-00980-6

M3 - Article

AN - SCOPUS:85009811566

VL - 18

SP - 1011

EP - 1020

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 6

ER -

ID: 47487368