A Change of Coordinates on the Large Phase Space of Quantum Cohomology
| dc.creator | Kabanov, Alexandre | |
| dc.creator | Kimura, Takashi | |
| dc.date | 1999-07-14 | |
| dc.date.accessioned | 2026-07-07T05:29:55Z | |
| dc.date.available | 2026-07-07T05:29:55Z | |
| dc.description | The Gromov-Witten invariants of a smooth, projective variety $V$, when twisted by the tautological classes on the moduli space of stable maps, give rise to a family of cohomological field theories and endow the base of the family with coordinates. We prove that the potential functions associated to the tautological $ψ$ classes (the large phase space) and the $κ$ classes are related by a change of coordinates which generalizes a change of basis on the ring of symmetric functions. Our result is a generalization of the work of Manin--Zograf who studied the case where $V$ is a point. We utilize this change of variables to derive the topological recursion relations associated to the $κ$ classes from those associated to the $ψ$ classes. | |
| dc.description | 24 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/9907096 | |
| dc.identifier | http://arxiv.org/abs/math/9907096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78828 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | A Change of Coordinates on the Large Phase Space of Quantum Cohomology | |
| dc.type | text |