TOPOLOGICAL QUANDLES AND INVARIANTS OF LINKS-Reference-Cited by-同舟云学术

TOPOLOGICAL QUANDLES AND INVARIANTS OF LINKS

Published:2007-08 Issue:06 Volume:16 Page:789-808
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

RUBINSZTEIN RYSZARD L.¹

Affiliation:

1. Department of Mathematics, Uppsala University, Box 480, Se-751 06 Uppsala, Sweden

Abstract

We introduce a notion of topological quandle. Given a topological quandle Q we associate to every classical link L in ℝ3 an invariant JQ(L) which is a topological space (defined up to a homeomorphism). The space JQ(L) can be interpreted as a space of colorings of a diagram of the link L with colors from the quandle Q.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216507005518

Reference13 articles.

1. Braids, Links, and Mapping Class Groups. (AM-82)

2. RACKS AND LINKS IN CODIMENSION TWO

3. An Introduction to Species and the Rack Space

4. R. Fenn, C. Rourke and B. Sanderson, Appl. Categorical Structures 3 (1995) pp. 321–356.

5. James bundles

Cited by 17 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. A twisted Hopf algebra of finite topological quandles;International Electronic Journal of Algebra;2024-06-27

2. The Topological Quandles up to four Elements;Journal of Knot Theory and Its Ramifications;2023-12-30

3. Quandles, Knots, Quandle Rings and Graphs;Algebra without Borders – Classical and Constructive Nonassociative Algebraic Structures;2023

4. Nontrivial Topological Quandles;Arnold Mathematical Journal;2022-07-12

5. A class of Lie racks associated to symmetric Leibniz algebras;Journal of Algebra and Its Applications;2021-08-16