An obstruction to smooth isotopy in dimension 4
An obstruction to smooth isotopy in dimension 4
复制标题
阻碍 4 维同位素平滑
DOI：
--
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Daniel Ruberman
中科院分区：
文献类型：
--
作者：
Daniel Ruberman
利用规范理论的技巧，定义和计算了4-流形的某些微分同胚的一个不变量。对于任何与恒等式光滑同构的微分同胚，不变量都为零。作为应用，我们给出了单连通4-流形的微分同胚的第一个例子，它与单位映射同伦，但不光滑地与单位映射同调。
Techniques of gauge theory are used to define and compute an invariant of certain diffeomorphisms of 4-manifolds. The invariant vanishes for any diffeomorphism which is smoothly isotopic to the identity. As an application, we give the first example of a diffeomorphism of a simply-connected 4-manifold which is homotopic to the identity map, but not smoothly isotopic to the identity.