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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
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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