236 citations · 661 across the 32 of their papers we have counts for
33 papers · 1 filter
Wave fronts and caustics in the tropical plane
Grigory Mikhalkin, Mikhail Shkolnikov
The paper studies intrinsic geometry in the tropical plane. Tropical structure in the real affine -space is determined by the integer tangent vectors. Tropical isomorphisms are…
Area in real K3-surfaces
Ilia Itenberg, Grigory Mikhalkin
For a real K3-surface , one can introduce areas of connected components of the real point set of using a holomorphic symplectic form of . These areas are d…
Spines for amoebas of rational curves
Grigory Mikhalkin, Johannes Rau
To every rational complex curve we associate a rational tropical curve so that the amoeba $\mathcal{A}(C) \subset \mathbf{…
Rigid isotopy of maximally writhed links
Grigory Mikhalkin, Stepan Orevkov
This is a sequel to the paper \cite{MO-mw} which identified maximally writhed algebraic links in $\rp^3$ and classified them topologically. In this paper we prove that all maximall…
On osculating framing of real algebraic links
Grigory Mikhalkin, Stepan Orevkov
For a real algebraic link in , we prove that its encomplexed writhe (an invariant introduced by Viro) is maximal for a given degree and genus if and only if its self-linking…
Maximally writhed real algebraic links
Grigory Mikhalkin, Stepan Orevkov
Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots and links in which can be viewed as a first order Vassiliev invariant. In this paper we cla…