3 papers
math.HO2026
On Arnold's and Pushkin's puzzles
Boris Khesin
We discuss and draw the reader's attention to several passages in Vladimir Arnold's note on the epigraph to the novel in verse "Evgenii Onegin" by ASPushkin, as well as to pu…
math.CO2025
Relative Helicity and Tiling Twist
Boris Khesin, Nicolau C. Saldanha
We consider domino tilings of 3D cubiculated regions. The tilings have two invariants, flux and twist, often integer-valued, which are given in purely combinatorial terms. These in…
math.DG2025
Curvature of Measure-Preserving Diffeomorphism Groups of Non-Orientable Surfaces
Boris Khesin, René Langøen, Irina Markina
We study curvatures of the groups of measure-preserving diffeomorphisms of non-orientable compact surfaces. For the cases of the Klein bottle and the real projective plane we compu…