论文标题
4个amanifolds家族的特征共同体类别
Characteristic cohomotopy classes for families of 4-manifolds
论文作者
论文摘要
在参数化的稳定同型理论的背景下，研究了具有复杂自旋结构的平滑闭合封闭的4个构象家族，这些家族通过bauer-furuta不变性的家族进行了研究，从而定义了与与其复杂的旋转差异组的分类空间相关的特征共同体谱类别的定义。这是通过绘制这种差异性的绘制托里的绘制，并且与模棱两可的不变性有关。
Families of smooth closed oriented 4-manifolds with a complex spin structure are studied by means of a family version of the Bauer--Furuta invariants in the context of parametrised stable homotopy theory, leading to a definition of characteristic cohomotopy classes on Thom spectra associated to the classifying spaces of their complex spin diffeomorphism groups. This is illustrated with mapping tori of such diffeomorphisms and related to the equivariant invariants.
