Formal manifolds: local structure of morphisms, and formal submanifolds
Differential Geometry
2025-01-22 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2501.11312,
title = {Formal manifolds: local structure of morphisms, and formal submanifolds},
author = {Fulin Chen and Binyong Sun and Chuyun Wang},
journal= {arXiv preprint arXiv:2501.11312},
year = {2025}
}