中文

A reconstruction of Euler data

代数几何 2007-05-23 v1 高能物理 - 理论

摘要

We apply the mirror principle of [L-L-Y] to reconstruct the Euler data Q={Qd}d\tinyBbbN{0}Q=\{Q_d\}_{d\in{\tinyBbb N}\cup\{0\}} associated to a vector bundle VV on \smallBbbCPn{\smallBbb C}{\rm P}^n and a multiplicative class bb. This gives a direct way to compute the intersection number KdK_d without referring to any other Euler data linked to QQ. Here KdK_d is the integral of the cohomology class b(Vd)b(V_d) of the induced bundle VdV_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 bb the Chern polynomial, the computation of K1K_1 for the bundle V=T\smallBbbCP2V=T_{\ast}{\smallBbb C}{\rm P}^2, and KdK_d, d=1,2,3d=1,2,3, for the bundles O\tinyBbbCP4(l){\cal O}_{{\tinyBbb C}{\rm P}^4}(l) with 6l106\le l\le 10 done using the code are also included.

关键词

引用

@article{arxiv.math/0003071,
  title  = {A reconstruction of Euler data},
  author = {Bong H. Lian and Chien-Hao Liu and Shing-Tung Yau},
  journal= {arXiv preprint arXiv:math/0003071},
  year   = {2007}
}

备注

41 pages; a Maple code is included