Connected sum of virtual knots and F -polynomials

Standard

Connected sum of virtual knots and F -polynomials. / Ivanov, Maxim.

In: Journal of Knot Theory and its Ramifications, Vol. 30, No. 10, 2140002, 01.09.2021.

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

Harvard

Ivanov, M 2021, 'Connected sum of virtual knots and F -polynomials', Journal of Knot Theory and its Ramifications, vol. 30, no. 10, 2140002. https://doi.org/10.1142/S0218216521400022

APA

Ivanov, M. (2021). Connected sum of virtual knots and F -polynomials. Journal of Knot Theory and its Ramifications, 30(10), [2140002]. https://doi.org/10.1142/S0218216521400022

Vancouver

Ivanov M. Connected sum of virtual knots and F -polynomials. Journal of Knot Theory and its Ramifications. 2021 Sept 1;30(10):2140002. doi: 10.1142/S0218216521400022

Author

Ivanov, Maxim. / Connected sum of virtual knots and F -polynomials. In: Journal of Knot Theory and its Ramifications. 2021 ; Vol. 30, No. 10.

BibTeX

@article{7f7337ada74843e1a5b5bc6a6f9c00b2,

title = "Connected sum of virtual knots and F -polynomials",

abstract = "It is known that connected sum of two virtual knots is not uniquely determined and depends on knot diagrams and choosing the points to be connected. But different connected sums of the same virtual knots cannot be distinguished by Kauffman's affine index polynomial. For any pair of virtual knots K and M with n-dwrithe δJn(K)=0 we construct an infinite family of different connected sums of K and M which can be distinguished by F-polynomials.",

keywords = "connected sum, F -polynomial, Virtual knot",

author = "Maxim Ivanov",

note = "The work was supported by the Russian Foundation for Basic Research (Project No. 19-01-00569). Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = sep,

day = "1",

doi = "10.1142/S0218216521400022",

language = "English",

volume = "30",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "10",

}

RIS

TY - JOUR

T1 - Connected sum of virtual knots and F -polynomials

AU - Ivanov, Maxim

PY - 2021/9/1

Y1 - 2021/9/1

N2 - It is known that connected sum of two virtual knots is not uniquely determined and depends on knot diagrams and choosing the points to be connected. But different connected sums of the same virtual knots cannot be distinguished by Kauffman's affine index polynomial. For any pair of virtual knots K and M with n-dwrithe δJn(K)=0 we construct an infinite family of different connected sums of K and M which can be distinguished by F-polynomials.

AB - It is known that connected sum of two virtual knots is not uniquely determined and depends on knot diagrams and choosing the points to be connected. But different connected sums of the same virtual knots cannot be distinguished by Kauffman's affine index polynomial. For any pair of virtual knots K and M with n-dwrithe δJn(K)=0 we construct an infinite family of different connected sums of K and M which can be distinguished by F-polynomials.

KW - connected sum

KW - F -polynomial

KW - Virtual knot

UR - http://www.scopus.com/inward/record.url?scp=85121305153&partnerID=8YFLogxK

U2 - 10.1142/S0218216521400022

DO - 10.1142/S0218216521400022

M3 - Article

AN - SCOPUS:85121305153

VL - 30

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 10

M1 - 2140002

ER -

ID: 35202049