论文标题
正确的弗雷德霍尔姆图索引的同副检查分类。
The homotopy classification of proper Fredholm maps of index one
论文作者
论文摘要
在上一篇论文中，我们将适当的弗雷德霍尔姆地图的同质类别从无限的尺寸希尔伯特歧管分类为其模型空间，以合适的框架恢复性。我们明确计算了这些同质索引的非阳性指数类别。在本文中，我们从简单地连接的希尔伯特歧管到其模型空间计算了正确的索引图的合适的弗雷德·图尔姆图的同喻类别。该分类使用一个新的数值不变，用于索引一号的正确弗雷德·霍尔姆地图。
In a previous paper we classified the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold to its model space in terms of a suitable version of framed cobordism. We explicitly computed these homotopy classes for non-positive index. In this paper we compute the homotopy classes of proper Fredholm maps of index one from a simply connected Hilbert manifold to its model space. This classification uses a new numerical invariant for proper Fredholm maps of index one.
