Math Papers


Can one define a preferred symplectic connection
joint work with Michel Cahen,
Reports on Mathematical Physics 43 (1999) No. 1/2, 35-42.
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.
This paper appeared in Reports on Mathematical Physics.
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