<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We introduce the concept of regular diagrams for knots and links in lens spaces, proving that two diagrams represent equivalent links if and only if they are related by a finite sequence of seven Reidemester type moves. As a particular case, we obtain diagrams and moves for links in ℝℙ<sup>3</sup> previously introduced by Y.V. Drobothukina.</p></abstract>

We introduce the concept of regular diagrams for knots and links in lens spaces, proving that two diagrams represent equivalent links if and only if they are related by a finite sequence of seven Reidemester type moves. As a particular case, we obtain diagrams and moves for links in ℝℙ3 previously introduced by Y.V. Drobothukina.

Reidemeister type moves for knots and links in lens spaces

Dipartimento di Matematica, Università Bologna, Piazza di Porta San Donato, 5 - 40126 Bologna, Italia

Dipartimento di Matematica, Universitàdi Bologna, Piazza di Porta San Donato, 5 - 40126 Bologna

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Reidemeister type moves for knots and links in lens spaces"}

We introduce the concept of regular diagrams for knots and links in lens spaces, proving that two diagrams represent equivalent links if and only if they are...

Reidemeister type moves for knots and links in lens spaces

Published Online: May 17, 2013

Page range: 115 - 130

DOI: https://doi.org/10.2478/v10309-012-0044-1

Keywords
knots and links, Reidemeister moves, lens spaces, three manifolds

This content is open access.

Reidemeister type moves for knots and links in lens spaces

Published Online: May 17, 2013

Page range: 115 - 130

DOI: https://doi.org/10.2478/v10309-012-0044-1

Keywordsknots and links, Reidemeister moves, lens spaces, three manifolds

This content is open access.

Keywords
knots and links, Reidemeister moves, lens spaces, three manifolds