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- W1654008889 abstract "Abstract By introducing the general notion of Lie pseudogroups and related geometrical concepts, it is shown that all affine and projective structures on a Riemann surface emerge from the computation of certain differential invariants for a suitable differential sequence, namely the non-linear Janet sequence for the 2-d conformal pseudogroup. Similarly the corresponding gauge theory (for the same 2-d conformal pseudogroup) is related to the first non-linear Spencer sequence. It is proved that the latter incorporates exactly the vanishing curvature conditions obtained in a BRS differential algebraic framework by L. Baulieu, M. Bellon and R. Grimm (Phys. Lett. B 260 (1991) 63) for the “gauging of the Virasoro algebra”. A proper geometrical meaning of this reference is thus provided according to our jet theoretical formulation. At the same time the cohomological link between the non-linear Janet sequence and the first non-linear Spencer sequence is explained." @default.
- W1654008889 created "2016-06-24" @default.
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- W1654008889 date "1992-12-01" @default.
- W1654008889 modified "2023-09-30" @default.
- W1654008889 title "Lie pseudogroups and differential sequences" @default.
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- W1654008889 doi "https://doi.org/10.1016/0393-0440(92)90007-n" @default.
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