Maximal Subbundles and Gromov-Witten Invariants
| dc.creator | Lange, H. | |
| dc.creator | Newstead, P. E. | |
| dc.date | 2002-04-17 | |
| dc.date | 2002-05-03 | |
| dc.date.accessioned | 2026-07-07T04:47:45Z | |
| dc.date.available | 2026-07-07T04:47:45Z | |
| dc.description | Let $C$ be a nonsingular irreducible projective curve of genus $g\ge2$ defined over the complex numbers. Suppose that $1\le n'\le n-1$ and $n'd-nd'=n'(n-n')(g-1)$. It is known that, for the general vector bundle $E$ of rank $n$ and degree $d$, the maximal degree of a subbundle of $E$ of rank $n'$ is $d'$ and that there are finitely many such subbundles. We obtain a formula for the number of these maximal subbundles when $(n',d')=1$. For $g=2$, $n'=2$, we evaluate this formula explicitly. The numbers computed here are Gromov-Witten invariants in the sense of a recent paper of Ch. Okonek and A. Teleman (to appear in Commun. Math. Phys.) and our results answer a question raised in that paper. In this revised version some references are added. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204216 | |
| dc.identifier | http://arxiv.org/abs/math/0204216 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63843 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60;14F05;32L10 | |
| dc.title | Maximal Subbundles and Gromov-Witten Invariants | |
| dc.type | text |