English

Polynomial atlases on manifolds

Algebraic Geometry 2022-09-27 v1 Differential Geometry

Abstract

We consider manifolds whose transition maps are restrictions of polynomial mappings RnRn\mathbb{R}^n\to\mathbb{R}^n, and use them to give an equivalent statement of the Jacobian conjecture over the real field.

Keywords

Cite

@article{arxiv.2209.12811,
  title  = {Polynomial atlases on manifolds},
  author = {Nicholas Juricic},
  journal= {arXiv preprint arXiv:2209.12811},
  year   = {2022}
}

Comments

3 pages

R2 v1 2026-06-28T02:07:26.855Z