The jet-space of a Frobenius manifold and higher-genus Gromov-Witten invariants
| dc.creator | Getzler, Ezra | |
| dc.date | 2002-11-21 | |
| dc.date | 2003-03-10 | |
| dc.date.accessioned | 2026-07-07T04:53:09Z | |
| dc.date.available | 2026-07-07T04:53:09Z | |
| dc.description | Let X be a projective manifold, and let H be the associated small phase space; this is a Frobenius manifold with canonical choice of fundamental solution for the Dubrovin connection. The large phase space of X may be identified with the jet-space of curves in H. In this paper, we formulate the differential equations satisfied by the higher-genus potentials F_g of X, such as topological recursion relations and the Virasoro constraints, in an intrinsic fashion on the jet space of H, that is, in such a way that the equations do not depend on the choice of fundamental solution. This effort is rewarded by a closer relationship between the resulting theory and the geometry of moduli spaces of stable curves. A consequence of our analysis is the proof of a conjecture of Eguchi and Xiong: F_g is a function on the jet space of jets of order 3g-2. | |
| dc.description | 50 pages; second version has changes to Section 4 suggested by referee - final version of paper to appear in Festschrift for Yu. I. Manin | |
| dc.identifier | https://arxiv.org/abs/math/0211338 | |
| dc.identifier | http://arxiv.org/abs/math/0211338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65740 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The jet-space of a Frobenius manifold and higher-genus Gromov-Witten invariants | |
| dc.type | text |