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SUMMARY:Georgios Dimitroglou Rizell (Uppsala University)
DTSTART:20210512T111000Z
DTEND:20210512T123000Z
DTSTAMP:20260423T004758Z
UID:GDS/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/32/">Non
 -degeneracy of Legendrians from bifurcation of contact homology</a>\nby Ge
 orgios Dimitroglou Rizell (Uppsala University) as part of Geometry and Dyn
 amics seminar\n\n\nAbstract\nWe show that the invariance of Legendrian con
 tact homology can be \nformulated in terms of a bifurcation analysis whose
  action properties \nare continuous with respect to the oscillatory norm o
 f the contact \nHamiltonian. (I.e. the barcode varies continuously with re
 spect to \nthe same.) Combined with work of Rosen-Zhang this implies non-d
 egeneracy \nof the Shelukhin-Chekanov-Hofer metric on the space of Legendr
 ian \nembeddings. We also explain how convex surface techniques in dimensi
 on \nthree can be used to prove a statement related to the converse: a \nn
 on-Legendrian knot cannot be approximated by the image of a Legendrian \nk
 not under a sequence of C0-converging contactomorphisms. This is joint \nw
 ork with M. Sullivan.\n
LOCATION:https://researchseminars.org/talk/GDS/32/
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