3 papers
math.SG2026
New systems of log-canonical coordinates on character varieties of compact Riemann surfaces
Marco Bertola, Dmitry Korotkin, Jordi Pillet
We construct new sets of log-canonical coordinates on the character variety of compact Riemann surfaces. These are labelled by families of no…
gr-qc2025
Periodic Kerr solution as an infinite soliton chain
Dmitry Korotkin, Javier Peraza
We combine numerical analysis with the inverse scattering method to study the periodic analog of Kerr solution. The periodic analog of the Schwarzschild solution is known to be reg…
gr-qc2025
Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods
Eddy B. de Leon. C. Klein, D. Korotkin
We present a numerical and analytical study of the so-called `toron' solution of the stationary axisymmetric Einstein equations in vacuum expressed in terms of elliptic functions.…