CLASSIFICATION OF CLOSED VIRTUAL 2-BRAIDS-Reference-Cited by-同舟云学术

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CLASSIFICATION OF CLOSED VIRTUAL 2-BRAIDS

Published:2008-10 Issue:10 Volume:17 Page:1223-1239
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

KADOKAMI TERUHISA¹

Affiliation:

1. Department of Applied Mathematics, Dalian University of Technology, Dalian-si, Liaoning-sheng, 116024, P. R. China

Abstract

We classify closed virtual 2-braids completely as virtual links. For the proof, we use surface bracket polynomial due to Dye and Kauffman, Kuperberg's theorem which states existence and uniqueness of a minimal realization for a virtual link, and a subgroup of the 3-braid group.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216508006592

Reference17 articles.

1. Theory of Braids

2. EXTENDING REPRESENTATIONS OF BRAID GROUPS TO THE AUTOMORPHISM GROUPS OF FREE GROUPS

3. Annals of Mathematics Studies;Birman J. S.,1974

4. STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS

5. Virtual knots undetected by 1- and 2-strand bracket polynomials

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Representation of virtual braid groups to rook algebras and virtual links invariants;Journal of Knot Theory and Its Ramifications;2017-02-17

2. THE PARITY WRITHE POLYNOMIALS FOR VIRTUAL KNOTS AND FLAT VIRTUAL KNOTS;Journal of Knot Theory and Its Ramifications;2013-01

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