Diffeomorphic vs Isotopic Links in Lens Spaces
作者： Alessia Cattabriga , Enrico Manfredi
DOI: 10.1007/S00009-018-1217-6
关键词:
摘要: Links in lens spaces may be defined to equivalent by ambient isotopy or diffeomorphism of pairs. In the first case, for all combinatorial representations links, there is a set Reidemeister-type moves on diagrams connecting links. this paper, we provide disk, band and grid that connects diffeo-equivalent links: are up four links each diffeo-equivalence class. Moreover, investigate how relates lift link 3-sphere: particular case oriented primitive-homologous knots, completely determines knot class L(p, q) diffeo-equivalence, thus only possible knots equivalence can have same lift.
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