Cobordisms of graphs › Research Explorer

Standard

Cobordisms of graphs : A sliceness criterion for stably odd free knots and related results on cobordisms. / Fedoseev, Denis A.; Manturov, Vassily O.

In: Journal of Knot Theory and its Ramifications, Vol. 27, No. 13, 1842011, 01.11.2018.

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

Harvard

Fedoseev, DA & Manturov, VO 2018, 'Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms', Journal of Knot Theory and its Ramifications, vol. 27, no. 13, 1842011. https://doi.org/10.1142/S0218216518420117

APA

Fedoseev, D. A., & Manturov, V. O. (2018). Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms. Journal of Knot Theory and its Ramifications, 27(13), [1842011]. https://doi.org/10.1142/S0218216518420117

Vancouver

Fedoseev DA, Manturov VO. Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms. Journal of Knot Theory and its Ramifications. 2018 Nov 1;27(13):1842011. doi: 10.1142/S0218216518420117

Author

Fedoseev, Denis A. ; Manturov, Vassily O. / Cobordisms of graphs : A sliceness criterion for stably odd free knots and related results on cobordisms. In: Journal of Knot Theory and its Ramifications. 2018 ; Vol. 27, No. 13.

BibTeX

@article{0bbd93003c4544c491245754c818d97b,

title = "Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms",

abstract = "In [1], the authors proved a sliceness criterion for odd free knots: free knots with odd chords. In the present paper, we give a similar criterion for stably odd free knots. In essence, free knots may be considered as framed 4-graphs. That leads to an important notion of framed 4-graph cobordism and the associated notion of graph genera. Some additional results on graph and free knot sliceness and cobordism are given.",

keywords = "free knot, graph cobordism, Knot, parity, slice, smoothing",

author = "Fedoseev, {Denis A.} and Manturov, {Vassily O.}",

note = "Publisher Copyright: {\textcopyright} 2018 World Scientific Publishing Company.",

year = "2018",

month = nov,

day = "1",

doi = "10.1142/S0218216518420117",

language = "English",

volume = "27",

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

issn = "0218-2165",

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

number = "13",

}

RIS

TY - JOUR

T1 - Cobordisms of graphs

T2 - A sliceness criterion for stably odd free knots and related results on cobordisms

AU - Fedoseev, Denis A.

AU - Manturov, Vassily O.

PY - 2018/11/1

Y1 - 2018/11/1

N2 - In [1], the authors proved a sliceness criterion for odd free knots: free knots with odd chords. In the present paper, we give a similar criterion for stably odd free knots. In essence, free knots may be considered as framed 4-graphs. That leads to an important notion of framed 4-graph cobordism and the associated notion of graph genera. Some additional results on graph and free knot sliceness and cobordism are given.

AB - In [1], the authors proved a sliceness criterion for odd free knots: free knots with odd chords. In the present paper, we give a similar criterion for stably odd free knots. In essence, free knots may be considered as framed 4-graphs. That leads to an important notion of framed 4-graph cobordism and the associated notion of graph genera. Some additional results on graph and free knot sliceness and cobordism are given.

KW - free knot

KW - graph cobordism

KW - Knot

KW - parity

KW - slice

KW - smoothing

UR - http://www.scopus.com/inward/record.url?scp=85057414192&partnerID=8YFLogxK

U2 - 10.1142/S0218216518420117

DO - 10.1142/S0218216518420117

M3 - Article

AN - SCOPUS:85057414192

VL - 27

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 13

M1 - 1842011

ER -

ID: 17687579