复射影空间中全纯曲线模空间之间的同调稳定性
代数拓扑
2017-12-19 v2
摘要
本文的主要目标是寻找黎曼面到复射影空间的全纯映射模空间的同伦理论近似。对于由 Gromov-Witten 理论意义下的不可约稳定映射组成的这些模空间的部分紧化，也有类似的处理。论证遵循 G. Segal 关于有理函数空间拓扑的一篇论文中的方法。
引用
@article{arxiv.0811.2274,
title = {Homological Stability among Moduli Spaces of Holomorphic Curves in Complex Projective Space},
author = {David Ayala},
journal= {arXiv preprint arXiv:0811.2274},
year = {2017}
}
备注
There is an error invalidating the main theorem. The error is pointed out as Remark 2.0.1. I am keeping this paper posted in case the ideas in it are useful to others