Kauffman's conjecture on pseudo-alternating links and alternative links

An oriented link is pseudo-alternating if it bounds a generalized flat surface, and it is alternative if it admits an oriented diagram such that, for each space of the diagram, all edges have the same sign.

Kauffman's conjecture. Every pseudo-alternating link is alternative.

The paper presents infinitely many counterexamples, so the conjecture is refuted. The definitions place it in the study of Seifert surfaces and classes of links; although all alternative links are homogeneous and all homogeneous links are pseudo-alternating, the converse asserted here fails.