Singular symplectic flops and Ruan cohomology
| dc.creator | Chen, Bohui | |
| dc.creator | Li, An-Min | |
| dc.creator | Zhang, Qi | |
| dc.creator | Zhao, Guosong | |
| dc.date | 2008-04-19 | |
| dc.date.accessioned | 2026-07-07T09:33:40Z | |
| dc.date.available | 2026-07-07T09:33:40Z | |
| dc.description | In this paper, we study the symplectic geometry of singular conifolds of the finite group quotient $$ W_r=\{(x,y,z,t)|xy-z^{2r}+t^2=0 \}/μ_r(a,-a,1,0), r\geq 1, $$ 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. | |
| dc.description | 34pages | |
| dc.identifier | https://arxiv.org/abs/0804.3144 | |
| dc.identifier | http://arxiv.org/abs/0804.3144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159216 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E30,53D45 | |
| dc.title | Singular symplectic flops and Ruan cohomology | |
| dc.type | text |