Applying Lipson's state models to marked graph diagrams of surface-links-Reference-Cited by-同舟云学术

Applying Lipson's state models to marked graph diagrams of surface-links

Published:2015-09 Issue:10 Volume:24 Page:1540003
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Joung Yewon¹,Kamada Seiichi²,Lee Sang Youl³

Affiliation:

1. Department of Mathematics, Graduate School of Natural Sciences, Pusan National University, Busan 609-735, Korea

2. Department of Mathematics, Osaka City University, Osaka 558-8585, Japan

3. Department of Mathematics, Pusan National University, Busan 609-735, Korea

Abstract

A. S. Lipson constructed two state models yielding the same classical link invariant obtained from the Kauffman polynomial F(a, u). In this paper, we apply Lipson's state models to marked graph diagrams of surface-links, and observe when they induce surface-link invariants.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515400039

Reference17 articles.

1. R. H. Fox, Topology of 3-manifolds and Related Topics (Prentice-Hall, Englewood Cliffs, NJ, 1962) pp. 120–167.

2. IDEAL COSET INVARIANTS FOR SURFACE-LINKS IN ℝ4

3. Braid and Knot Theory in Dimension Four

Cited by 6 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. Minimal generating sets of moves for surfaces immersed in the four-space;Journal of Knot Theory and Its Ramifications;2023-10-15

2. Minimal generating set of planar moves for surfaces embedded in the four-space;Journal of Knot Theory and Its Ramifications;2021-07

3. Minimal hard surface-unlink and classical unlink diagrams;Journal of Knot Theory and Its Ramifications;2019-10

4. Polynomial of an oriented surface-link diagram via quantum A2 invariant;Topology and its Applications;2017-11

5. Surface-Knots in 4-Space;Springer Monographs in Mathematics;2017