Moduli Space of General Connections
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. Poincaré series of the geometric structure of connection is constructed, and shown to be a rational function, confirming the finiteness assertion of Tresse.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2010
- DOI:
- 10.48550/arXiv.1010.5285
- arXiv:
- arXiv:1010.5285
- Bibcode:
- 2010arXiv1010.5285D
- Keywords:
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- Mathematics - Differential Geometry;
- 53B05
- E-Print:
- 10 pages