Standard

LERNAEAN KNOTS AND BAND SURGERY. / Belousov, Yu S.; Karev, M. V.; Malyutin, A. V.; Miller, A. Yu.

в: St. Petersburg Mathematical Journal, Том 33, № 1, 01.01.2022, стр. 23-46.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Belousov, YS, Karev, MV, Malyutin, AV & Miller, AY 2022, 'LERNAEAN KNOTS AND BAND SURGERY', St. Petersburg Mathematical Journal, Том. 33, № 1, стр. 23-46. https://doi.org/10.1090/SPMJ/1687

APA

Belousov, Y. S., Karev, M. V., Malyutin, A. V., & Miller, A. Y. (2022). LERNAEAN KNOTS AND BAND SURGERY. St. Petersburg Mathematical Journal, 33(1), 23-46. https://doi.org/10.1090/SPMJ/1687

Vancouver

Belousov YS, Karev MV, Malyutin AV, Miller AY. LERNAEAN KNOTS AND BAND SURGERY. St. Petersburg Mathematical Journal. 2022 Янв. 1;33(1):23-46. https://doi.org/10.1090/SPMJ/1687

Author

Belousov, Yu S. ; Karev, M. V. ; Malyutin, A. V. ; Miller, A. Yu. / LERNAEAN KNOTS AND BAND SURGERY. в: St. Petersburg Mathematical Journal. 2022 ; Том 33, № 1. стр. 23-46.

BibTeX

@article{be8c68617dbc4e6790fcdd9478fd674c,
title = "LERNAEAN KNOTS AND BAND SURGERY",
abstract = "The paper is devoted to a line of the knot theory related to the conjecture on the additivity of the crossing number for knots under connected sum. A series of weak versions of this conjecture are proved. Many of these versions are formulated in terms of the band surgery graph also called the H (2)-Gordian graph.",
keywords = "adequate, band surgery, crossing number, H (2)-Gordian graph, hyperbolic, Kauffman polynomial, Knot, link, metric, semiadequate, tangle",
author = "Belousov, {Yu S.} and Karev, {M. V.} and Malyutin, {A. V.} and Miller, {A. Yu}",
year = "2022",
month = jan,
day = "1",
doi = "10.1090/SPMJ/1687",
language = "English",
volume = "33",
pages = "23--46",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "1",

}

RIS

TY - JOUR

T1 - LERNAEAN KNOTS AND BAND SURGERY

AU - Belousov, Yu S.

AU - Karev, M. V.

AU - Malyutin, A. V.

AU - Miller, A. Yu

PY - 2022/1/1

Y1 - 2022/1/1

N2 - The paper is devoted to a line of the knot theory related to the conjecture on the additivity of the crossing number for knots under connected sum. A series of weak versions of this conjecture are proved. Many of these versions are formulated in terms of the band surgery graph also called the H (2)-Gordian graph.

AB - The paper is devoted to a line of the knot theory related to the conjecture on the additivity of the crossing number for knots under connected sum. A series of weak versions of this conjecture are proved. Many of these versions are formulated in terms of the band surgery graph also called the H (2)-Gordian graph.

KW - adequate

KW - band surgery

KW - crossing number

KW - H (2)-Gordian graph

KW - hyperbolic

KW - Kauffman polynomial

KW - Knot

KW - link

KW - metric

KW - semiadequate

KW - tangle

UR - http://www.scopus.com/inward/record.url?scp=85123533780&partnerID=8YFLogxK

U2 - 10.1090/SPMJ/1687

DO - 10.1090/SPMJ/1687

M3 - Article

AN - SCOPUS:85123533780

VL - 33

SP - 23

EP - 46

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 1

ER -

ID: 105814624