E. Lerman

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20242026

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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…

Lie-Rinehart and Poisson algebras over C∞-rings

Poisson C∞-schemes

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

Poisson $C^{\infty}$ -schemes