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Multi-virtual knot theory

delete2025-12-01
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PRE
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Louis H. Kauffman *
DOI:10.1142/S0218216525400024delete
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摘要

摘要

En 中文
在本论文中,我们将虚结理论推广到多虚结理论,其中存在多重虚交叉。每种虚交叉类型可以绕过其他虚交叉类型,以及经典或浸入交叉。我们引入了多虚结和多虚链的新不变量,并描述了由此产生的新问题。我们展示了三价平面图的彭罗斯着色评价及其扩展(包括我们对该评价向非平面图和任意颜色数量的推广)如何为多虚理论的建设提供动机。
Keyword:
Graph
trivalent graph
cubic graph
perfect matching
Petersen graph
Penrose evaluation, matching polynomial
chromatic polynomial
dichromatic polynomial
Tutte polynomial
formation
coloring
knot diagram
link diagram
virtual knot theory
multi-virtual knot theory
bracket polynomial
chromatic bracket polynomial
parity bracket polynomial
quandle
bi-quandle
generalized quandle
rotational virtuals, multi-virtual link cobordism
multiple welded knot theory
arrow polynomial
multi-virtual braids
multi-virtual Markov theorem

期刊

J
Journal of Knot Theory and Its Ramifications
IF:
0.4
论文数:
99
被引数:
0

机构

University of Illinois System 封面图
University of Illinois System
学者数:
6.9W
论文数: 6.2W
被引数: 644
引用论文

引用论文

Infinite families of links with trivial Jones polynomial
err2003-01-01
err0
errOAAI
errShalom Eliahou; Louis H. Kauffman; Morwen B. Thistlethwaite
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Virtual knot theory–-unsolved problems
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PREAI
errFenn,Roger; Kauffman,Louis H.; Manturov,Vassily O.
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Biquandles and virtual links
err2004-11-01
err0
PREAI
errFenn,Roger; Jordan-Santana,Mercedes; Kauffman,Louis
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BIQUANDLES FOR VIRTUAL KNOTS
err2007-12-01
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PREAI
errHRENCECIN,DAVID; KAUFFMAN,LOUIS H.
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VIRTUAL BRAIDS AND THE L-MOVE
err2006-08-01
err0
PREAI
errKAUFFMAN,LOUIS H.; LAMBROPOULOU,SOFIA
err分享
err收藏
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