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arXiv.org e-Print Archive
Preprint . 2015
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Other literature type . 2017
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https://dx.doi.org/10.48550/ar...
Article . 2015
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A transcendental function invariant of virtual knots

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Oct 2017Embargo end date: 01 Jan 2015Publisher:Mathematical Society of Japan (Project Euclid)Journal:Journal of the Mathematical Society of Japan, volume 69 (issn: 0025-5645, Copyright policy )
Authors: CHENG, Zhiyun;

doi: 10.2969/jmsj/06941583 , 10.48550/arxiv.1511.08459

arXiv: http://arxiv.org/abs/1511.08459

A transcendental function invariant of virtual knots

Abstract

In this work we describe a new invariant of virtual knots. We show that this transcendental function invariant generalizes several polynomial invariants of virtual knots, such as the writhe polynomial, the affine index polynomial and the zero polynomial.

12 pages, 12 figures

Keywords

affine index polynomial, Mathematics - Geometric Topology, 57M27, virtual knots, FOS: Mathematics, zero polynomial, Geometric Topology (math.GT), writhe polynomial

  • BIP!
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Top 10%
Top 10%
Green
hybrid