Intersection Numbers on the Moduli Spaces of Stable Maps in Genus 0
| dc.creator | Kabanov, Alexandre | |
| dc.creator | Kimura, Takashi | |
| dc.date | 1998-01-02 | |
| dc.date | 1998-03-22 | |
| dc.date.accessioned | 2026-07-07T05:23:28Z | |
| dc.date.available | 2026-07-07T05:23:28Z | |
| dc.description | Let $V$ be a smooth, projective, convex variety. We define tautological $ψ$ and $κ$ classes on the moduli space of stable maps $\M_{0,n}(V)$, give a (graphical) presentation for these classes in terms of boundary strata, derive differential equations for the generating functions of the Gromov-Witten invariants of $V$ twisted by these tautological classes, and prove that these intersection numbers are completely determined by the Gromov-Witten invariants of $V$. This results in families of Frobenius manifold structures on the cohomology ring of $V$ which includes the quantum cohomology as a special case. | |
| dc.description | LaTeX2e with Postscript figures, 29 pages, reference added | |
| dc.identifier | https://arxiv.org/abs/math/9801004 | |
| dc.identifier | http://arxiv.org/abs/math/9801004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76448 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Intersection Numbers on the Moduli Spaces of Stable Maps in Genus 0 | |
| dc.type | text |