论文标题
一些4个manifolds的theta-graph和差异性
Theta-graph and diffeomorphisms of some 4-manifolds
论文作者
论文摘要
在本文中，我们构建了许多封闭的非简单相互连接的4个manifolds的相互非体位差异，这些封闭的4个manifolds沿着$θ$ graphs进行手术，而不是同位素的同位素。作为推论，我们在4个manifolds的Codimension 1嵌入和伪异构体上获得了一些新结果。为了证明差异性的非平凡性，我们利用了Kontsevich的特征类别的扭曲类似物来进行平滑捆绑，这是通过扩展Marché的更高维度类似物来获得的 - LESCOP的“ Equivariant Triple Triplesception”在3-manifolds的配置空间中允许loce loce aLge cofficity Algebraic coffictic coffictial cofficity coffictial cofficity。
In this article, we construct countably many mutually non-isotopic diffeomorphisms of some closed non simply-connected 4-manifolds that are homotopic to but not isotopic to the identity, by surgery along $Θ$-graphs. As corollaries of this, we obtain some new results on codimension 1 embeddings and pseudo-isotopies of 4-manifolds. In the proof of the non-triviality of the diffeomorphisms, we utilize a twisted analogue of Kontsevich's characteristic class for smooth bundles, which is obtained by extending a higher dimensional analogue of Marché--Lescop's "equivariant triple intersection" in configuration spaces of 3-manifolds to allow Lie algebraic local coefficient system.
