Quantum D-modules and generalized mirror transformations
| dc.creator | Iritani, Hiroshi | |
| dc.date | 2004-11-05 | |
| dc.date | 2007-06-17 | |
| dc.date.accessioned | 2026-07-07T13:18:20Z | |
| dc.date.available | 2026-07-07T13:18:20Z | |
| dc.description | In the previous paper, the author defined equivariant Floer cohomology for a complete intersection in a toric variety and showed that it is isomorphic to the small quantum D-module after a mirror transformation when the first Chern class c_1(M) of the tangent bundle is nef. In this paper, even when c_1(M) is not nef, we show that the equivariant Floer cohomology reconstructs the big quantum D-module under certain conditions on the ambient toric variety. The proof is based on a mirror theorem by Coates and Givental. The reconstruction procedure here gives a generalized mirror transformation first observed by Jinzenji in low degrees. | |
| dc.description | 54 pages; v2: corrected typos; v3: added reference; v4: corrected errors in the proof of the main theorem; v5: major revision. In the main theorem, we added a condition on the ambient toric variety | |
| dc.identifier | https://arxiv.org/abs/math/0411111 | |
| dc.identifier | http://arxiv.org/abs/math/0411111 | |
| dc.identifier | Topology 47 (2008) no.4, pp.225--276 | |
| dc.identifier | doi:10.1016/j.top.2007.07.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231396 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D45 (Primary) 14N35 (Secondary) | |
| dc.title | Quantum D-modules and generalized mirror transformations | |
| dc.type | text |