Structures Symplectiques sur les Espaces de Courbes Projectives et Affines

Details Structures Symplectiques sur les Espaces de Courbes Projectives et Affines Structures Symplectiques sur les Espaces de Courbes Projectives et Affines

1994-09-19

arxiv.org/abs/hep-th/9409105v1

Physics

High Energy Physics

High Energy Physics - Theory

41 pages

Scientific paper

10.1016/0393-0440(94)00024-X

A symplectic structure on the space of nondegenerate and nonparametrized
curves in a locally affine manifold is defined. We also consider several
interesting spaces of nondegenerate projective curves endowed with Poisson
structures. This construction connects the Virasoro algebra and the
Gel'fand-Dikii bracket with the projective differential geometry.

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