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math.SG2024
Non-orderability and the contact Hofer norm
Jakob Hedicke, Egor Shelukhin
We relate non-orderability in contact topology to shortening in the contact Hofer norm. Combined with considerations of open books, this provides many new examples of non-orderable…
math.SG2024
On the rigidity of translated points
Dylan Cant, Jakob Hedicke
We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelu…