E. Lerman

collaborators

3 papers

math.SG2026

Lie-Rinehart and Poisson algebras over $C^{\infty}$ -rings

Eugene Lerman, Ruben Louis

We define the analogue of Lie-Rinehart algebras over $C^{\infty}$ -rings. We show that given a Poisson $C^{\infty}$ -ring $A$ its module $I^c ◯_{A}^{1}$ of $C^{\infty}$ -KÃ…

math.SG2025

Poisson $C^{\infty}$ -schemes

Eugene Lerman

We introduce Poisson $C^{\infty}$ -rings and Poisson local $C^{\infty}$ -ringed spaces. We show that the spectrum of a Poisson $C^{\infty}$ -ring is an affine Poisson $C^{\infty}$ -scheme. We…

math.DG2025

Vector fields and flows on $C^{\infty}$ -schemes

Eugene Lerman

We prove that a vector field on an affine $C^{\infty}$ -scheme Spec(A) has a flow if the $C^{\infty}$ -ring A is finitely generated. If the vector field is complete then the flow is the…

Lie-Rinehart and Poisson algebras over C∞-rings

Poisson C∞-schemes

Vector fields and flows on C∞-schemes

Lie-Rinehart and Poisson algebras over $C^{\infty}$ -rings

Poisson $C^{\infty}$ -schemes

Vector fields and flows on $C^{\infty}$ -schemes