Monoid and group of pseudo braids

Valeriy G. Bardakov; Slavik Jablan; Hang Wang

doi:10.1142/S0218216516410029

Monoid and group of pseudo braids

Valeriy G. Bardakov
, Slavik Jablan
, Hang Wang

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

7 Scopus citations

Abstract

In this paper, we introduce pseudo braid monoids and show that, such a monoid is isomorphic to a singular braid monoid. We also prove an analogue of Markov's Theorem for pseudo braids.

Original language	English
Article number	1641002
Journal	Journal of Knot Theory and its Ramifications
Volume	25
Issue number	9
DOIs	https://doi.org/10.1142/S0218216516410029
State	Published - 1 Aug 2016
Externally published	Yes

Keywords

Markov's Theorem
Pseudo knots
pseudo braids
singular knots

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10.1142/S0218216516410029

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title = "Monoid and group of pseudo braids",

abstract = "In this paper, we introduce pseudo braid monoids and show that, such a monoid is isomorphic to a singular braid monoid. We also prove an analogue of Markov's Theorem for pseudo braids.",

keywords = "Markov's Theorem, Pseudo knots, pseudo braids, singular knots",

author = "Bardakov, \{Valeriy G.\} and Slavik Jablan and Hang Wang",

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T1 - Monoid and group of pseudo braids

AU - Bardakov, Valeriy G.

AU - Jablan, Slavik

AU - Wang, Hang

PY - 2016/8/1

Y1 - 2016/8/1

N2 - In this paper, we introduce pseudo braid monoids and show that, such a monoid is isomorphic to a singular braid monoid. We also prove an analogue of Markov's Theorem for pseudo braids.

AB - In this paper, we introduce pseudo braid monoids and show that, such a monoid is isomorphic to a singular braid monoid. We also prove an analogue of Markov's Theorem for pseudo braids.

KW - Markov's Theorem

KW - Pseudo knots

KW - pseudo braids

KW - singular knots

UR - https://www.scopus.com/pages/publications/84979202577

U2 - 10.1142/S0218216516410029

DO - 10.1142/S0218216516410029

M3 - 文章

AN - SCOPUS:84979202577

SN - 0218-2165

VL - 25

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 9

M1 - 1641002

ER -

Monoid and group of pseudo braids

Abstract

Keywords

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