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 the projective space previously introduced by Y.V. Drobothukina.
Reidemeister type moves for knots and links in lens spaces / E. Manfredi; M. Mulazzani. - In: ANALELE UNIVERSITAţII OVIDIUS CONSTANTA. SERIA MATEMATICA. - ISSN 1224-1784. - STAMPA. - 20 (2):(2012), pp. 115-130. [10.2478/v10309-012-0044-1]
Reidemeister type moves for knots and links in lens spaces
MANFREDI, ENRICO;MULAZZANI, MICHELE
2012
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 the projective space previously introduced by Y.V. Drobothukina.File in questo prodotto:
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