Moduli Space of General Connections

Details Moduli Space of General Connections Moduli Space of General Connections

2010-10-25

arxiv.org/abs/1010.5285v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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.

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