Virtual multicrossings and petal diagrams for virtual knots and links

Colin Adams; Chaim Even-Zohar; Jonah Greenberg; Reuben Kaufman; David Lee; Darin Li; Dustin Ping; Theodore Sandstrom; Xiwen Wang

doi:10.1142/S0218216523400011

Virtual multicrossings and petal diagrams for virtual knots and links

Colin Adams, Chaim Even-Zohar, Jonah Greenberg, Reuben Kaufman, David Lee, Darin Li, Dustin Ping, Theodore Sandstrom, Xiwen Wang

Mathematics

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

Abstract

Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all virtual knots.

Original language	English
Article number	2340001
Journal	Journal of Knot Theory and its Ramifications
Volume	32
Issue number	8
DOIs	https://doi.org/10.1142/S0218216523400011
State	Published - 1 Jul 2023

Keywords

Virtual knot
multicrossings
petal diagram

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216523400011

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title = "Virtual multicrossings and petal diagrams for virtual knots and links",

abstract = "Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all virtual knots.",

keywords = "Virtual knot, multicrossings, petal diagram",

author = "Colin Adams and Chaim Even-Zohar and Jonah Greenberg and Reuben Kaufman and David Lee and Darin Li and Dustin Ping and Theodore Sandstrom and Xiwen Wang",

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AU - Adams, Colin

AU - Even-Zohar, Chaim

AU - Greenberg, Jonah

AU - Kaufman, Reuben

AU - Lee, David

AU - Li, Darin

AU - Ping, Dustin

AU - Sandstrom, Theodore

AU - Wang, Xiwen

PY - 2023/7/1

Y1 - 2023/7/1

N2 - Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all virtual knots.

AB - Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all virtual knots.

KW - Virtual knot

KW - multicrossings

KW - petal diagram

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SN - 0218-2165

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JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

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ER -

Virtual multicrossings and petal diagrams for virtual knots and links

Abstract

Keywords

ASJC Scopus subject areas

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