Lev Tovstopyat-Nelip

activity

20162020

most citedOn the transverse invariant and braid dynamics

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 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★ 1 cited

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…

math.GT2016

Concordance maps in $H F K^{-}$

Lev Tovstopyat-Nelip

We show that a decorated knot concordance $C$ from $K_{0}$ to $K_{1}$ induces an $F [U]$ -module homomorphism \[G_{\mathcal{C}}: HFK^{-}(-S^3,K_0) \to HFK^{-}(-S^3,K_1…

Quasipositive surfaces and decomposable Lagrangians

Grid invariants in universally tight lens spaces

On the transverse invariant and braid dynamics

Concordance maps in HFK−

Concordance maps in $H F K^{-}$