Topological recursive relations in $H^{2g}(M_{g,n})$
| dc.creator | Ionel, Eleny-Nicoleta | |
| dc.date | 1999-08-13 | |
| dc.date | 2001-09-12 | |
| dc.date.accessioned | 2026-07-07T05:30:17Z | |
| dc.date.available | 2026-07-07T05:30:17Z | |
| dc.description | We show that any degree at least $g$ polynomial in descendant or tautological classes vanishes on $M_{g,n}$ when $g\ge 2$. This generalizes a result of Looijenga and proves a version of Getzler's conjecture. The method we use is the study of the relative Gromov-Witten invariants of $P^1$ relative 2 points combined with the degeneration formulas of [IP1]. At the end of the paper, we also included a quick proof of a very recent conjecture made by Vakil. | |
| dc.description | AMS-LaTeX, 27 pages, improved exposition | |
| dc.identifier | https://arxiv.org/abs/math/9908060 | |
| dc.identifier | http://arxiv.org/abs/math/9908060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78945 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | Topological recursive relations in $H^{2g}(M_{g,n})$ | |
| dc.type | text |