24 citations · 24 across the 2 of their papers we have counts for
3 papers
math.CO2025
-rationals and dimers
Valentin Ovsienko
We describe the relationships between the notion of -deformed rational numbers, introduced in our previous work with Sophie Morier-Genoud, and the theory of dimer models. We sho…
math-ph2007
Lie antialgebras: premices
Valentin Ovsienko
The main purpose of this work is to develop the basic notions of the Lie theory for commutative algebras. We introduce a class of $\mathbbZ_2$-graded commutative but not associativ…
dg-ga1997★ 24 cited
Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
S. Bouarroudj, V. Ovsienko
The first group of differentiable cohomology of $\Diff(S^1)$, vanishing on the Möbius subgroup $PSL(2,R)\subset\Diff(S^1)$, with coefficients in modules of linear differential oper…