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Symplectic geometry on moduli spaces of stable pairs

Symplectic geometry on moduli spaces of stable pairs

In [H], Hitchin studied, from the point of view of symplectic geometry, the cotangent bundle r*^/s(r, d} of the moduli space of stable vector bundles Us (f^ d) on a smooth irreducible projective curve C.He r considered the map H : T*Us(r,d) -> ^HQ (C,K ^), which associates to a …