QUANDLES AT FINITE TEMPERATURES III-Reference-Cited by-同舟云学术

QUANDLES AT FINITE TEMPERATURES III

Published:2005-05 Issue:03 Volume:14 Page:275-373
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

BOJARCZUK JOAQUIM¹,LOPES PEDRO²

Affiliation:

1. Instituto de Matemática e Estatística, Universidade do Estado do Rio de Janeiro, R. S. Francisco Xavier, 524 Maracanã, 20550-013 Rio de Janeiro, RJ, Brazil

2. Departamento de Matemática and Centro de Matemática e Aplicações, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Abstract

We resume work on telling embeddings of codimension two apart by counting colorings of the corresponding diagrams by given quandles. Previously, we illustrated the efficiency of this approach on classical knots. In the present paper we apply it to knotted surfaces. We recover work of Kamada in telling ribbon knots apart and we distinguish all elements of a class of twist-spun torus knots.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821650500383X

Reference17 articles.

1. Mathematical Surveys and Monographs;Carter J. S.,1998

2. Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces

3. Quandle cohomology and state-sum invariants of knotted curves and surfaces

4. QUANDLES AT FINITE TEMPERATURES II

5. RACKS AND LINKS IN CODIMENSION TWO

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