Lev Tovstopyat-Nelip

collaborators

3 papers

math.GT2020

Quasipositive surfaces and decomposable Lagrangians

Lev Tovstopyat-Nelip

We show that a quasipositive surface with disconnected boundary induces a map between the knot Floer homology groups of its boundary components preserving the transverse invariant.…

math.GT2018

Grid invariants in universally tight lens spaces

Lev Tovstopyat-Nelip

We define combinatorial invariants of Legendrian and transverse links in universally tight lens spaces using grid diagrams, generalizing [OST08] and prove that they are equivalent…

math.GT2018

On the transverse invariant and braid dynamics

Lev Tovstopyat-Nelip

Suppose $(B, π)$ is an open book supporting $(Y, ξ)$ , where the binding $B$ is possibly disconnected, and $K$ is a braid about this open book. Then $B \cup K$ is naturally a transvers…