E. Lerman

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20242026

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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…

math.DG2024

Cartan calculus for $C^{\infty}$ -ringed spaces

Eugene Lerman

In an earlier paper (arXiv:2212.11163) I constructed a complex of differential forms on a local $C^{\infty}$ -ringed space. In this paper I define a sheaf of vector fields (``the tang…

Vector fields and flows on C∞-schemes

Cartan calculus for C∞-ringed spaces

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

Cartan calculus for $C^{\infty}$ -ringed spaces