Can one define a preferred symplectic connection
Bourgeois, Frédéric ; Cahen, Michel
HAL, hal-01011016 / Harvested from HAL
We define a variational principle for symplectic connections of the Yang-Mills type. When the symplectic manifold is a compact surface we show that the moduli space of the connections which are extremals of the functional coincides with the Teichmüller space of the surface. We indicate that the noncompact situation is very different.
Publié le : 1999-07-04
Classification:  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
@article{hal-01011016,
     author = {Bourgeois, Fr\'ed\'eric and Cahen, Michel},
     title = {Can one define a preferred symplectic connection},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01011016}
}
Bourgeois, Frédéric; Cahen, Michel. Can one define a preferred symplectic connection. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01011016/