Transverse-Legendrian links

Ivan Dynnikov

doi:10.33048/semi.2019.16.141

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arXiv · 1911.11806

Transverse-Legendrian links

Ivan Dynnikov

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Abstract

In recent joint works of the present author with M.Prasolov and V.Shastin a new technique for distinguishing Legendrian knots has been developed. In this paper the technique is extended further to provide a tool for distinguishing transverse knots. It is shown that the equivalence problem for transverse knots with trivial orientation-preserving symmetry group is algorithmically solvable. In a future paper the triviality condition for the orientation-preserving symmetry group will be dropped.

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Ivan Dynnikov. 2019-11-26. Transverse-Legendrian links. https://doi.org/10.33048/semi.2019.16.141

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