5 citations · 10 across the 6 of their papers we have counts for
7 papers
Legendrian Lavrentiev links
Maxim Prasolov
Lavrentiev curves form a special class of rectifiable curves which includes cusp-free piecewise smooth curves. We call a Lavrentiev curve Legendrian if the integral of the contact…
An algorithm for comparing Legendrian knots
Ivan Dynnikov, Maxim Prasolov
We construct an algorithm to decide whether two given Legendrian or transverse links are equivalent. In general, the complexity of the algorithm is too high for practical implement…
Distinguishing Legendrian knots of topological type , and
Maxim Prasolov, Vladimir Shastin
In a recent work of I. Dynnikov and M. Prasolov a new method of comparing Legendrian knots with nontrivial symmetry group is proposed. Using this method we confirm conjectures of N…
Rectangular diagrams of surfaces: the basic moves
Ivan Dynnikov, Maxim Prasolov
In earlier papers we introduced a representation of isotopy classes of compact surfaces embedded in the three-sphere by so called rectangular diagrams. The formalism proved useful…
Classification of Legendrian knots of topological type with maximal Thurston--Bennequin number
Ivan Dynnikov, Maxim Prasolov
We classify Legendrian knots of topological type having maximal Thurston--Bennequin number confirming the corresponding conjectures of Chongchitmate--Ng.
Rectangular diagrams of surfaces: distinguishing Legendrian knots
Ivan Dynnikov, Maxim Prasolov
In an earlier paper we introduced rectangular diagrams of surfaces and showed that any isotopy class of a surface in the three-sphere can be presented by a rectangular diagram. Her…
Rectangular Diagrams of Legendrian Graphs
Maxim Prasolov
In this paper Legendrian graphs in are considered modulo Legendrian isotopy and edge contraction. To a Legendrian graph we associate a (generalized…