形式Legendrian与水平嵌入空间的基本群
辛几何
2021-01-06 v2
摘要
我们计算了 R3 中形式Legendrian嵌入空间各连通分支的基本群。利用它，我们表明文献中先前的非平凡Legendrian嵌入环的例子在形式层面已经是非平凡的。类似地，我们计算了到标准Engel R4 的形式水平嵌入空间不同连通分支的基本群。我们验证了这也计算了水平嵌入空间的基本群。
引用
@article{arxiv.1711.04320,
title = {Fundamental groups of formal Legendrian and horizontal embedding spaces},
author = {Eduardo Fernández and Javier Martínez-Aguinaga and Francisco Presas},
journal= {arXiv preprint arXiv:1711.04320},
year = {2021}
}
备注
73 pages, 78 figures. Many changes. The statements and the proofs are pretty much the same, but we have improven the readability, reorganized the paper, streamlined some of the arguments, avoided proofs by picture, corrected some computational mistakes and increased a lot the number of pictures