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SUMMARY:Rima Chatterjee (University of Cologne\, Germany)
DTSTART:20211208T163000Z
DTEND:20211208T170500Z
DTSTAMP:20260404T111410Z
UID:GTWorkshopTurkeyIV/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkeyIV/1/">Cabling of knots in overtwisted contact manifolds</a>\nb
 y Rima Chatterjee (University of Cologne\, Germany) as part of Geometry & 
 Topology Workshop Turkey IV\n\n\nAbstract\nKnots associated to overtwisted
  manifolds are less explored. There are two types of knots in an overtwist
 ed manifold - loose and non-loose. Non-loose knots are knots with tight co
 mplements where as loose knots have overtwisted complements. While we unde
 rstand loose knots\, non-loose knots remain a mystery. The classification 
 and structure problems of these knots vary greatly compared to the knots i
 n tight manifolds. Especially we are interested in how satellite operation
 s on a knot in overtwisted manifold changes the geometric property of the 
 knot. In this talk\, I will discuss under what conditions cabling operatio
 n on a non-loose knot preserves non-looseness. This is a joint work with E
 tnyre\, Min and Mukherjee.\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkeyIV/1/
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SUMMARY:Hyunki Min (Massachusetts Institute of Technology\, United States)
DTSTART:20211208T171500Z
DTEND:20211208T175000Z
DTSTAMP:20260404T111410Z
UID:GTWorkshopTurkeyIV/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkeyIV/2/">Non-loose torus knots</a>\nby Hyunki Min (Massachusetts 
 Institute of Technology\, United States) as part of Geometry & Topology Wo
 rkshop Turkey IV\n\n\nAbstract\nOne of the interesting problems in 3-dimen
 sional contact geometry is to classify Legendrian knots and study their va
 rious properties since they have several applications such as an interacti
 on with Heegaard Floer homology\, a rich source of producing new contact m
 anifolds\, etc. There has been several attempts to classify Legendrian kno
 ts in contact 3-spheres. For example\, Eliashberg and Fraser classified Le
 gendrian unknots in every contact 3-spheres\, Entyre and Honda classified 
 Legendrian torus knots in the standard 3-sphere\, and Geiges and Onaran cl
 assified Legendrian left-handed trefoil in overtwisted contact 3-spheres. 
 In this talk\, we will classify Legendrian torus knots in overtwisted 3-sp
 heres. This is a joint work with John Entyre and Anubhav Mukherjee.\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkeyIV/2/
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