凯勒轨形的同伦性质
微分几何
2016-12-30 v2 代数拓扑
辛几何
摘要
通过改写凯勒流形的经典证明，我们证明了紧凯勒轨形的形式性以及奇次贝蒂数的偶性。作为推论，我们得到了不接受任何凯勒轨形结构的辛轨形的例子。我们还回顾了已知的非形式单连通萨萨克流形的例子，并给出了一个贝蒂数 且 的非形式拟正则萨萨克流形的例子。
引用
@article{arxiv.1605.03024,
title = {Homotopic properties of K\"ahler orbifolds},
author = {Giovanni Bazzoni and Indranil Biswas and Marisa Fernández and Vicente Muñoz and Aleksy Tralle},
journal= {arXiv preprint arXiv:1605.03024},
year = {2016}
}
备注
29 pages, no figures. Background material on orbifolds substantially improved. Comments are welcome! arXiv admin note: text overlap with arXiv:1402.6861