A reconstruction of Euler data
| dc.creator | Lian, Bong H. | |
| dc.creator | Liu, Chien-Hao | |
| dc.creator | Yau, Shing-Tung | |
| dc.date | 2000-03-12 | |
| dc.date.accessioned | 2026-07-25T22:41:39Z | |
| dc.description | We apply the mirror principle of [L-L-Y] to reconstruct the Euler data $Q=\{Q_d\}_{d\in{\tinyBbb N}\cup\{0\}}$ associated to a vector bundle $V$ on ${\smallBbb C}{\rm P}^n$ and a multiplicative class $b$. This gives a direct way to compute the intersection number $K_d$ without referring to any other Euler data linked to $Q$. Here $K_d$ is the integral of the cohomology class $b(V_d)$ of the induced bundle $V_d$ on a stable map moduli space. A package '{\tt \verb+EulerData_MP.m+}' in Maple V that carries out the actual computation is provided. For $b$ the Chern polynomial, the computation of $K_1$ for the bundle $V=T_{\ast}{\smallBbb C}{\rm P}^2$, and $K_d$, $d=1,2,3$, for the bundles ${\cal O}_{{\tinyBbb C}{\rm P}^4}(l)$ with $6\le l\le 10$ done using the code are also included. | |
| dc.description | 41 pages; a Maple code is included | |
| dc.identifier | https://arxiv.org/abs/math/0003071 | |
| dc.identifier | http://arxiv.org/abs/math/0003071 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/91577 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A reconstruction of Euler data | |
| dc.type | text |