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dc.contributor.authorGeiges, Hansjörg
dc.contributor.authorOnaran, Sinem
dc.date.accessioned2018-03-21T13:26:45Z
dc.date.available2018-03-21T13:26:45Z
dc.date.issued2018-03-21
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1357
dc.description.abstractWe present classification results for exceptional Legendrian realisations of torus knots. These are the first results of that kind for non-trivial topological knot types. Enumeration results of Ding-Li-Zhang concerning tight contact structures on certain Seifert fibred manifolds with boundary allow us to place upper bounds on the number of tight contact structures on the complements of torus knots; the classification of exceptional realisations of these torus knots is then achieved by exhibiting suffciently many realisations in terms of contact surgery diagrams. We also discuss a couple of general theorems about the existence of exceptional Legendrian knots.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2018,04
dc.titleExceptional Legendrian Torus Knotsen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2018-04
local.scientificprogramResearch in Pairs 2016en_US
local.series.idOWP-2018-04en_US


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