论文标题
沃尔对确定的4个manifolds的差异性的稳定实现
Wall's stable realization for diffeomorphisms of definite 4-manifolds
论文作者
论文摘要
让$ x $成为平稳的简单连接的封闭的4个manifold,并具有确定的交叉表格。我们表明,$ x $的交叉路口形式的任何自动形态都是通过$ x \ mathbin {\#} s^2 \ times s^2 $的差异性实现的。这扩展并完成了沃尔从1964年开始的基本结果。
Let $X$ be a smooth simply connected closed 4-manifold with definite intersection form. We show that any automorphism of the intersection form of $X$ is realized by a diffeomorphism of $X \mathbin{\#} S^2 \times S^2$. This extends and completes Wall's foundational result from 1964.