English

Moduli Space of General Connections

Differential Geometry 2010-10-27 v1

Abstract

We consider local invariants of general connections (with torsion). The group of origin-preserving diffeomorphisms acts on a space of jets of general connections. Dimensions of moduli spaces of generic connections are calculated. Poincar\'e series of the geometric structure of connection is constructed, and shown to be a rational function, confirming the finiteness assertion of Tresse.

Keywords

Cite

@article{arxiv.1010.5285,
  title  = {Moduli Space of General Connections},
  author = {Stanislav Dubrovskiy},
  journal= {arXiv preprint arXiv:1010.5285},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T16:34:02.858Z