Affiliation:
1. Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
Abstract
We discuss when homogeneous quasipositive links are positive. We show that a homogeneous diagram of a quasipositive link whose number of Seifert circles is equal to the braid index is a positive diagram, and show that the truth of Murasugi–Przytycki’s conjecture on braid index of alternating links implies that alternating quasipositive links are positive.
Funder
Japan Society for the Promotion of Science
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory