Perturbations vs deformations
Mathematical Physics
2025-04-18 v1 math.MP
Abstract
In the first part of the paper we define a perturbative (pre-formal) geometry and formulate a theorem on the relation between the construction of a perturbative neighborhood of affine varieties and the higher tangent bundles. In the second part of the paper, we discuss perturbative vector fields and related structures, which are finite-dimensional analogs of perturbation theory characteristics arising in quantum field theory.
Cite
@article{arxiv.2504.12479,
title = {Perturbations vs deformations},
author = {Maksim Gritskov and Andrey Losev},
journal= {arXiv preprint arXiv:2504.12479},
year = {2025}
}