E8⊕E8⊕E8⊕E8 流形上周期为3的自同构
Automorphisms of the E8⊕E8⊕E8⊕E8 Manifold with Period 3
摘要:
本文对相交形式为E8⊕E8⊕E8⊕E8 的四维流形上的周期为3的自同构进行研究，利用G-符号差定理，考察其上周期为3的自同构作用含二维不动分支的情形，给出不可实现为局部线性作用的整表示，并给出同调平凡以及其他整表示的不动点类型的例子。
Abstract:
In this essay, we concentrate on the automorphisms on the E8⊕E8⊕E8⊕E8 4-manifold with period 3. Using G-signature theorem, we investigate possible integral representations of fixed point set with two-dimensional components under such automorphisms. We eliminate some re-presentations that cannot be realized, and study some examples of the homologically trivial and others cases about the possible datum of fixed point sets.
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