ar X iv : 0 80 4 . 31 44 v 1 [ m at h . SG ] 1 9 A pr 2 00 8 SINGULAR SYMPLECTIC FLOPS AND RUAN COHOMOLOGY
نویسنده
چکیده
In this paper, we study the symplectic geometry of singular conifolds of the finite group quotient Wr = {(x, y, z, t)|xy − z + t = 0}/μr(a,−a, 1, 0), r ≥ 1, which we call orbi-conifolds. The related orbifold symplectic conifold transition and orbifold symplectic flops are constructed. Let X and Y be two symplectic orbifolds connected by such a flop. We study orbifold Gromov-Witten invariants of exceptional classes on X and Y and show that they have isomorphic Ruan cohomologies. Hence, we verify a conjecture of Ruan.
منابع مشابه
ar X iv : 0 80 4 . 31 43 v 1 [ m at h . A G ] 1 9 A pr 2 00 8 RUAN ’ S CONJECTURE ON SINGULAR SYMPLECTIC FLOPS
We prove that the orbifold quantum ring is preserved under singular symplectic flops. Hence we verify Ruan’s conjecture for this case.
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تاریخ انتشار 2008