Impossibility of obtaining split links from split links via twistings

Simple item page
dc.creatorOzawa, Makoto
dc.date2001-04-24
dc.date.accessioned2026-07-07T04:41:25Z
dc.date.available2026-07-07T04:41:25Z
dc.descriptionWe show that if a split link is obtained from a split link $L$ in $S^3$ by $1/n$-Dehn surgery along a trivial knot $C$, then the link $L\cup C$ is splittable. That is to say, it is impossible to obtain a split link from a split link via a non-trivial twisting. As its corollary, we completely determine when a trivial link is obtained from a trivial link via a twisting.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math/0104218
dc.identifierhttp://arxiv.org/abs/math/0104218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61350
dc.subjectGeometric Topology
dc.subject57M25
dc.titleImpossibility of obtaining split links from split links via twistings
dc.typetext

Files

Collections

arXiv