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math-ph2022★ 4 cited
Shadows of rationals and irrationals: supersymmetric continued fractions and the super modular group
Charles H. Conley, Valentin Ovsienko
This paper is an attempt to apply the tools of supergeometry to arithmetic. Supergeometric objects are defined over supercommutative rings of coefficients, and we consider an integ…
math-ph2012
Linear differential operators on contact manifolds
Charles H. Conley, Valentin Ovsienko
We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. We extend the standard notions of the Heisenberg cal…