236 citations · 661 across the 32 of their papers we have counts for
39 papers
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…
Ellipsoidal superpotentials and stationary descendants
Grigory Mikhalkin, Kyler Siegel
We compute stationary gravitational descendants in symplectic ellipsoids of any dimension, and use these to derive a number of new recursive formula for punctured curve counts in s…
Singular symplectic spaces and holomorphic membranes
Sergey Galkin, Grigory Mikhalkin
We set up a topological framework for degenerations of symplectic manifolds into singular spaces paying a special attention to the behavior of Lagrangian manifolds and their (holom…
Non-commutative amoebas
Grigory Mikhalkin, Mikhail Shkolnikov
The group of isometries of the hyperbolic 3-space is one of the simplest non-commutative complex Lie groups. Its quotient by the maximal compact subgroup naturally maps it back to…
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{…