Markov theorem for transversal links
It is shown that two braids represent transversally isotopic links if and only if one can pass from one braid to another by conjugations in braid groups, positive Markov moves, and their inverses.
math.GT↗
arXiv subjects
V. V. Shevchishin
Publications and source records attributed to V. V. Shevchishin.
Deformations of Noncompact Complex Curves and Meromorphic Envelopes of Spheres
We study the envelopes of meromorphy of neighborhoods of symplectically immersed two-spheres in complex Kähler surfaces using the Gromov's theory of pseudoholomorphic curves. The construction of a complete family of holomorphic deformations of a non-compact complex curve in a complex manifold, parametrized by a finite codimension analytic subset of a Banach ball, is given. The existence of this family is used to prove a generalization of Levi's continuity principle, which is applied to describe envelopes of meromorphy.
math.CV↗