论文标题
部分可观测时空混沌系统的无模型预测
The virtual flyping theorem
论文作者
论文摘要
我们将飞行定理扩展到变厚表面和交替的虚拟链接中的交替链路。前者结果的证明使用了Boden-Karimi的工作来适应作者的1898年蝇fly猜想的几何证明（首先是由Menasco-Thistlethwaite在1993年证明的），而后者的证明涉及作者最近在相关论文中引入的图表。在此过程中，我们还扩展了戈登（Gordon）的经典结果，在跨越表面上的配对与使用该表面的双支盖构造的4个manifold上的相交形式之间建立了同构。
We extend the flyping theorem to alternating links in thickened surfaces and alternating virtual links. The proof of the former result uses work of Boden--Karimi to adapt the author's geometric proof of Tait's 1898 flyping conjecture (first proved in 1993 by Menasco--Thistlethwaite), while the proof of the latter involves a diagrammatic correspondence recently introduced by the author in a related paper. In the process, we also extend a classical result of Gordon--Litherland, establishing an isomorphism between their pairing on a spanning surface and the intersection form on a 4-manifold constructed as a double-branched cover using that surface.
