Connections on Associative Varieties

Arvid Siqveland

Connections on Associative Varieties

Algebraic Geometry 2026-07-16 v1

Authors: Arvid Siqveland

Abstract

We have embedded the category of smooth real $n$ -manifolds faithfully into the category of associative varieties, \cite{S2603}. Many constructions on smooth manifolds can then be generalized to associative varieties. Here we will generalize the well known interpretation of connections on manifolds to connections on associative varieties. This eventually proves the existence of geodesics in an associative variety.

Cite

@article{arxiv.2607.14577,
  title  = {Connections on Associative Varieties},
  author = {Arvid Siqveland},
  journal= {arXiv preprint arXiv:2607.14577},
  year   = {2026}
}