Copy For Citation
ARCHIV DER MATHEMATIK, vol.116, no.4, pp.469-479, 2021 (SCI-Expanded)
Article / Article
ARCHIV DER MATHEMATIK
Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
Contact structures, Legendrian knots, Open book decompositions, Planar open book decompositions
Hacettepe University Affiliated:
In this paper, we show that any topological knot or link in S-1 x S-2 sits on a planar page of an open book decomposition whose monodromy is a product of positive Dehn twists. As a consequence, any knot or link type in S-1 x S-2 has a Legendrian representative having support genus zero. We also show this holds for some knots and links in the lens spaces L(p, 1).