Аннотация:
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.
Ivan Dynnikov, Vladimir Shastin, “Distinguishing Legendrian knots with trivial orientation-preserving symmetry group”, Algebr. Geom. Topol., 23:4 (2023), 1849–1889
М. М. Чернавских, “Алгоритм построения прямоугольной диаграммы поверхности Зейферта”, Сиб. матем. журн., 63:3 (2022), 699–711; M. M. Chernavskikh, “An algorithm for constructing the rectangular diagrams of a Seifert surface”, Siberian Math. J., 63:3 (2022), 583–594