Work

Cobordism of algebraic knots defined by Brieskorn polynomials, II}

Year: 2026

Type: article

Abstract: In our previous paper, we obtained several results concerning cobordisms of algebraic knots associated with Brieskorn polynomials: for example, under certain conditions, we showed that the exponents are cobordism invariants. In this paper, we further obtain new results concerning the Fox--Milnor type relations, decomposition of the algebraic cobordism class of an algebraic knot associated with a Brieskorn polynomial that has a null-cobordant factor over the field of rational numbers, and cyclic suspensions of knots. As a corollary, we show that a spherical algebraic knot associated with a Brieskorn polynomial has infinite order in the knot cobordism group.

Source: Journal of Singularities

DOI: 10.5427/jsing.2026.29f

Authors: Vincent Blanlœil, Osamu Saeki

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Université de Strasbourg, Centre National de la Recherche Scientifique, Japan Society for the Promotion of Science

Awards: Mathematical innovations woven by singularity theory and geometric topology, Visualizing twists in data through monodromy

OpenAlex ID: W7204886131

FWCI:

Cites: 1

Cited by:

Related to: 10