Perturbations vs deformations
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908323576545280 |
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| author | Gritskov, Maksim Losev, Andrey |
| author_facet | Gritskov, Maksim Losev, Andrey |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12479 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perturbations vs deformations Gritskov, Maksim Losev, Andrey Mathematical Physics 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. |
| title | Perturbations vs deformations |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2504.12479 |