Topology Atlas | Conferences

Knots in Washington XXXVI
May 3-5, 2013
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Homogeneous links and two related families
by
Marithania Silvero-Casanova
Departamento de Álgebra - Universidad de Sevilla (España)

Peter Cromwell introduced homogeneous links, which include positive and alternating links. They also include alternative links, introduced by Kauffman. Pseudo-alternating links, in the sense of Mayland and Murasugi, contain homogeneous links. Kauffman conjectured that pseudo-alternating links are alternative, implying that the three families (alternative, homogeneous and pseudo-alternating links) are equivalent.

I will define these three families of links, showing some inclusions involving them and giving some examples.

Date received: April 26, 2013

Copyright © 2013 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbhe-09.