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QUANDLES AT FINITE TEMPERATURES III

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

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and

PEDRO LOPES

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

Temporary address: IMPA, Estrada D. Castorina 110, 22460-320 Rio de Janeiro, RJ, Brazil.

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https://doi.org/10.1142/S021821650500383XCited by:4 (Source: Crossref)

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.

Keywords:

AMSC: 57Q45

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