The Abel-jacobi Isomorphism on One Cycles on the Moduli Space of Vector Bundles with Trivial Determinant on a Curve

We consider the moduli space SUsC(r,OC) of rank r stable vector bundles with trivial determinant on a smooth projective curve C of genus g. We show that the Abel-Jacobi map on the rational Chow group CH1(SU s C(r,OC))hom ⊗ Q of one cycles which are homologous to zero, is an isomorphism onto the intermediate Jacobian of the compactly supported cohomology… CONTINUE READING