Formal manifolds: local structure of morphisms, and formal submanifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910790301253632 |
|---|---|
| author | Chen, Fulin Sun, Binyong Wang, Chuyun |
| author_facet | Chen, Fulin Sun, Binyong Wang, Chuyun |
| contents | This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In three previous papers, we introduce the notion of formal manifolds and study their basic theory, focusing on function spaces and Poincare's lemma. In this paper, we further explore the foundational framework of formal manifolds, including the local structure of constant rank morphisms (such as inverse function theorem and constant rank theorems) as well as the theory of formal submanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11312 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formal manifolds: local structure of morphisms, and formal submanifolds Chen, Fulin Sun, Binyong Wang, Chuyun Differential Geometry 58A05 This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In three previous papers, we introduce the notion of formal manifolds and study their basic theory, focusing on function spaces and Poincare's lemma. In this paper, we further explore the foundational framework of formal manifolds, including the local structure of constant rank morphisms (such as inverse function theorem and constant rank theorems) as well as the theory of formal submanifolds. |
| title | Formal manifolds: local structure of morphisms, and formal submanifolds |
| topic | Differential Geometry 58A05 |
| url | https://arxiv.org/abs/2501.11312 |