Quantum ring of singularity $X^{p}+XY^{q}$
| dc.creator | Fan, Huijun | |
| dc.creator | Shen, Yefeng | |
| dc.date | 2009-02-13 | |
| dc.date.accessioned | 2026-07-07T12:41:37Z | |
| dc.date.available | 2026-07-07T12:41:37Z | |
| dc.description | In this paper, we will prove that the quantum ring of the quasi-homogeneous polynomial $X^{p}+XY^{q}(p\ge 2,q>1)$ with some admissible symmetry group $G$ defined by Fan-Jarvis-Ruan-Witten theory is isomorphic to the Milnor ring of its mirror dual polynomial $X^{p}Y+Y^{q}$. We will construct an concrete isomorphism between them. The construction is a little bit different in case $(p-1,q)=1$ and case $(p-1,q)=d>1$. Some other problems including the correspondence between the pairings of both Frobenius algebras has also been discussed. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0902.2327 | |
| dc.identifier | http://arxiv.org/abs/0902.2327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219832 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | 14B05, 53D45 | |
| dc.title | Quantum ring of singularity $X^{p}+XY^{q}$ | |
| dc.type | text |