关于$p=3,7$时$#_r(S^p \times S^p)$的映射类群
几何拓扑
2011-10-31 v2
摘要
对于，，我们计算了上保持定向的微分同胚的合痕类群模去那些在维圆盘外为恒等映射的合痕类，以及上保持定向的同伦等价的同伦类群。
引用
@article{arxiv.0905.0423,
title = {On the mapping class groups of $#_r(S^p \times S^p)$ for $p = 3, 7$},
author = {Diarmuid Crowley},
journal= {arXiv preprint arXiv:0905.0423},
year = {2011}
}
备注
Presentation significantly improved following referee's comments; e.g. added Corollary 2.8 to make certain classes in the second cohomology of the symplectic group explicit. To appear in Math. Zeit.. 12 pages